Quadratic Formula

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Nicole Pablico
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Quadratic Formula

Postby Nicole Pablico » Sun Jan 15, 2023 10:11 pm

How do you apply the quadratic formula when solving for equilibrium?

Aishwarya Vadivel 2F
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Re: Quadratic Formula

Postby Aishwarya Vadivel 2F » Sun Jan 15, 2023 10:14 pm

You use it to solve for X, which you then plug back into the reactants and/or product(s) concentration equations to find the final concentration after equilibrium is re-established.

Jude Marting 2l
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Re: Quadratic Formula

Postby Jude Marting 2l » Sun Jan 15, 2023 10:21 pm

When using the ICE table you will either adding or subtracting x based on the concentration. If it has a given concentration or you were able to solve it subtract x from it, if the concentration is unknown just put x. Remember to look at the coefficients for the balanced reaction since it will be deciding if the x is 2x,3x,4x.... Once you have the concentration with the xs subtracting from them, you can put the product over the reactants equal to the given K. You will then cross multiply and from there you can apply the quadratic formula. Remember any negative values from the quadratic formula are not valid.

SohelaBedi1E
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Re: Quadratic Formula

Postby SohelaBedi1E » Sun Jan 15, 2023 11:36 pm

The quadratic formula is applied after using the ICE table and plugging in your values to solve for K. In order to simplify for the missing X value, you need to use quadratic formula to solve.

Isela Tamayo 3H
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Re: Quadratic Formula

Postby Isela Tamayo 3H » Mon Jan 16, 2023 7:21 pm

you use the quadratic formula to solve for x after you have done your ice table.

Allie Kinsey 3H
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Re: Quadratic Formula

Postby Allie Kinsey 3H » Wed Jan 18, 2023 11:39 am

If you are ever solving an equation algebraically and you reach a point where you have simplified it to a "variable squared" plus "the same variable" plus an integer, it may seem as though you cannot solve for the variable, but this is when you would plug the coefficients to the variables as well as the integer into the quadratic formula to solve for the unknown variable.

Justin Shafa 2E
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Re: Quadratic Formula

Postby Justin Shafa 2E » Wed Jan 18, 2023 6:21 pm

After you have completed the ice table, and it seems that there is x^2 in the final equation, then you would plug in the coefficients for each term into the quadratic formula to solve for x as one of the concentrations.

Sunny Do 1G
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Re: Quadratic Formula

Postby Sunny Do 1G » Wed Jan 18, 2023 10:08 pm

You use the quadratic formula to solve for the variable x from the ICE box. You are usually given a value K and set up the products over reactants equal to K. Then, you work through algebra to isolate or factor x. You will most likely be left with a quadratic equation equal to 0. That is when you apply the quadratic formula to find x, which will be plugged back into the ICE box to find the molar compositions of your equation.

105988375
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Re: Quadratic Formula

Postby 105988375 » Thu Jan 19, 2023 10:44 am

You use the quadratic formula to solve for "X" from your ice table. X usually ends up being a variable you used to substitute in for an unknown amount of change. Once you fill out the table, you need to solve for X to get the final concentrations/bars of the products and reactants and equilibrium.

Kaiden
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Joined: Mon Jan 09, 2023 9:22 am

Re: Quadratic Formula

Postby Kaiden » Thu Jan 19, 2023 6:53 pm

Hi,

The quadratic formula looks a little scary but is actually not. When you write an equation you can typically use algebra to get the equation into the "ax^2 + bx + c = 0" form. You then simply insert this "a," "b," and "c" into the quadratic formula.

joannar
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Re: Quadratic Formula

Postby joannar » Thu Jan 19, 2023 7:34 pm

We use the quadratic formula after using the ice table! It is used to solve for X and once we get that, we plug it back to the equation to find the end concentration.

Ayesha Ashraf
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Re: Quadratic Formula

Postby Ayesha Ashraf » Thu Jan 19, 2023 8:27 pm

Yes, you may need to use the quadratic formula when solving for equilibrium. You may find it useful when using ICE tables. If you are solving for an x quantity and were not provided with any of the equilibrium concentrations of your products or reactants you will probably have x values in both your products and reactants and need to use the quadratic equation to solve for that unknown quantity.

NISHA PATEL 1C
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Re: Quadratic Formula

Postby NISHA PATEL 1C » Fri Jan 20, 2023 5:14 pm

Hey! The quadratic formula is used to solve for X after you finish setting up your ICE table based on the balanced equation and concentration equation. You use this to solve for potential values of K.

Emily Ng 3D
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Re: Quadratic Formula

Postby Emily Ng 3D » Sun Jan 22, 2023 9:41 am

After completion of an ICE table, the written-out expression of the equilibrium constant would contain Xs. The quadratic formula would be used to solve for the Xs.

Paulina Martirossian 2F
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Re: Quadratic Formula

Postby Paulina Martirossian 2F » Sun Jan 22, 2023 6:56 pm

You use quadratic formula to solve for the value of x. Once you find the x value, you plug it back into the equation to find the final concentration.

Fiorella Garcia 3D
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Re: Quadratic Formula

Postby Fiorella Garcia 3D » Sun Jan 22, 2023 11:23 pm

The quadratic formula is used to find the x value. You will usually get a negative and positive x, but you only use the positive x and plug the x value back into the equation to find the concentration of the reactants and products.

Serena Sahota 1A
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Re: Quadratic Formula

Postby Serena Sahota 1A » Sun Jan 22, 2023 11:44 pm

After you have completed the ICE table, you would use the quadratic formula to solve for x.

Nala Son 3B
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Re: Quadratic Formula

Postby Nala Son 3B » Sun Jan 22, 2023 11:51 pm

Hi!
You would first set up the ICE table to set up your equations to solve for the missing x, relative to the stoichiometry of the reaction. After setting up these equations, you would set them equal to your K to solve for x. In other words, you are working with the K = products/reactants equation, and substituting your product and reactant equilibrium concentrations for the equations that you wrote out in the ICE table. After this, you would solve the equation to have a quadratic equation (a^2 + bx + c = 0) and then solve for x in this equation using the quadratic formula. After finding your x value, plug it back in to your original equations written out in the ICE table to find your final concentrations.

Jenny Dis1D
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Re: Quadratic Formula

Postby Jenny Dis1D » Mon Jan 23, 2023 12:06 am

After completing the ICE table, it should give you your set up and everything you need to set up your quadratic equation which you'll solve for x.

Natalie Inglis 2K
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Joined: Mon Jan 09, 2023 9:31 am

Re: Quadratic Formula

Postby Natalie Inglis 2K » Mon Jan 23, 2023 12:21 am

If I have a fraction containing two either addition or subtraction equations that both contain an x value, for example 0.5 = (0.2+x) / (0.8-x), how do I solve for x?

Bailey Shioya 2D
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Joined: Mon Jan 09, 2023 8:57 am

Re: Quadratic Formula

Postby Bailey Shioya 2D » Mon Jan 23, 2023 8:42 am

When solving for equilibrium, it is useful to set up an ICE table, using the stoichiometric coefficients to determine whether a compound gained/lost an x. Next set the equilibrium equations, which should include x's, of the reactants and products (R/P) equal to the equilibrium constant, K. After manipulating the equation, a quadratic should result. Lastly, solve for x and use the value to determine the new concentrations of each compound.

Eden K 1B
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Re: Quadratic Formula

Postby Eden K 1B » Mon Jan 23, 2023 9:12 am

You use the quadratic formula after constructing your ICE table and determine the equilibrium of a certain component of the chemical reaction or to determine the K value. The change row of the ICE table tells you whether you will be adding or subtracting nX amount. Then this is added to a numerical value to create an expression that will be expanded to then be plugged into the quadratic formula.

905934944
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Re: Quadratic Formula

Postby 905934944 » Mon Jan 23, 2023 12:01 pm

u use the quadratic formula to solve for x to find the concentration of hydrogen ions if the question gives Ka or find the concentration of hydroxide ions if the question gives Kb

405672459
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Re: Quadratic Formula

Postby 405672459 » Mon Jan 23, 2023 2:07 pm

Can the ICE table be set up more than one way, if so how?

405672459
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Joined: Mon Jan 03, 2022 9:49 am

Re: Quadratic Formula

Postby 405672459 » Mon Jan 23, 2023 2:07 pm

Can the ICE table be set up more than one way, if so how?

Kiiana Hilario 2E
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Re: Quadratic Formula

Postby Kiiana Hilario 2E » Tue Jan 24, 2023 12:47 pm

You use the quadratic formula when you solve for x using the ICE table, when you plug in your values with x into the K formula ([P]/[R]).

Dominic Pham 3A
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Re: Quadratic Formula

Postby Dominic Pham 3A » Tue Jan 24, 2023 5:03 pm

After you set up your ICE table, set up your equilibrium constant equation (products/reactants) = K. Usually the value of K will be given and so you just have to solve for x with the quadratic equation as previously explained. However, be sure to check the value of K to see if it's possible to approximate (is it < 10^-3?). If it fits the aforementioned criteria, then we can remove the x in the denominator and you'll be left with a situation in which you solve for x by taking the square root of both sides without having to go through the trouble of using the quadratic formula. Hope this helps.

nikita_manyak28
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Re: Quadratic Formula

Postby nikita_manyak28 » Thu Jan 26, 2023 3:44 pm

When solving for equilibrium, you use the ICE table method. By using this method, you should have the concentrations of the different molecules for the equilibrium portion. Then you use the equation to solve for the equilibrium constant (K=[Products]/[Reactants]) using these new concentrations. Normally, you will be given the proper K value to use and you can plug the numbers in. Given K = x^2/([reactants]-x) and from here you continue to solve for x. You would use the quadratic formula once you have the x^2+x-c=0 formula to solve for the value of x. x can only be a positive value so you should only get one answer!

Emily Lee 2H
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Re: Quadratic Formula

Postby Emily Lee 2H » Thu Jan 26, 2023 4:22 pm

After your ICE table, you use the quadratic equation when K>10^-3. If K<10^-3 then you can omit the -x and just use alegrbra to solve for x.

Yijia_ZHOU
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Been upvoted: 1 time

Re: Quadratic Formula

Postby Yijia_ZHOU » Fri Jan 27, 2023 11:04 am

Just by using the formula and plug numbers in, but I was also wondering if we are allowed to install programs on our graphing calculator to solve some problems that require the quadratic formula faster?

306022612
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Re: Quadratic Formula

Postby 306022612 » Fri Jan 27, 2023 11:29 am

All you must do is use it to solve for x. Usually, that gives you two x values (because it is a quadratic equation), and you pick which ever value makes sense in regards to the problem, usually the positive x value.

bella moore
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Re: Quadratic Formula

Postby bella moore » Fri Jan 27, 2023 11:31 am

You use an ICE table (Initial Concentration, Change in concentration, and equilibrium concentration) to make an equation solving for Ka. Using the Ka equation (product)(product)/(reactant)(reactant). Usually, this looks like Ka = X^2/Initial - X. Then solve for X. If Ka is 10^-4 or less, you can take away the X in the initial - x and don't have to use a quadratic equation.

505769291
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Re: Quadratic Formula

Postby 505769291 » Fri Jan 27, 2023 12:28 pm

After completing the ice table you set K equal to the equilibrium concentrations of products over reactants from the ice table using the variable x and you use the quadratic formula to find the value of x. You can then plug the value of X in to get the exact equilibrium concentrations.


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