quadratic formula values
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quadratic formula values
How do we know which x-value to choose from when both are positive values after computing the quadratic formula?
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Re: quadratic formula values
If you've solved the equation right and there's two positive x values as a result, there should be one x value that is greater even than the initial concentration itself, and we know that would have to be wrong because if we're using it as a change we cant have the equilibrium concentration be negative.
So in short: the x value that is greater than the initial concentration is not the correct one.
So in short: the x value that is greater than the initial concentration is not the correct one.
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Re: quadratic formula values
When you have two positive values, I believe you pick the value that is less than what you see when you look at the initial concentration of the reactants, and reject the value that is greater than the initial concentration of the reactants.
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Re: quadratic formula values
I believe Dr Lavelle said that you take that value that is smaller than the initial concentrations of reactants, because it wouldn't make sense for a product to increase by that higher X amount when there aren't enough reactants available to complete that reaction.
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Re: quadratic formula values
Even though they both might be positive, Lavelle said only one of them will make sense when they're plugged into the equilibrium values. I just plug them into all of the values in the "E" row of the ICE table and it's always given me the right answer.
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Re: quadratic formula values
if both are positive, choose the one that will not result in a negative number when you plug it in the equations for equilibrium constants. For example, if an equation to find the equilibrium concentration of a reactant is 0.5-x and you have values 0.2 and 0.8 from your quadratic equation, 0.8 will result in a negative concentration, so you would pick 0.2.
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Re: quadratic formula values
no negative x values and if theyre both positive one will be bigger than the initial condition which isnt right
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Re: quadratic formula values
You shouldn't choose the one that is negative or that is too big to make sense in the context of the problem.
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Re: quadratic formula values
even though both are positive, only one should make sense given the conditions of the question
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Re: quadratic formula values
You have to choose the positive x-value! If they're both positive, then you should try to plug them in to see if one of them results in a negative value.
Re: quadratic formula values
You would use the positive value for the answer to the question. If both are positive, choose what value makes sense for the question.
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Re: quadratic formula values
If there is one negative and one positive, only the positive one makes sense.
If they are both positive, only one of them should make sense so you'd find the pH and rule out the one that doesn't make sense.
If they are both positive, only one of them should make sense so you'd find the pH and rule out the one that doesn't make sense.
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Re: quadratic formula values
Try subtracting them from the initial molarity. If you get a negative output, then that one is not the correct answer.
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Re: quadratic formula values
always go with the positive when presented with a negative and a positive. if both are positive you'll have to use both in further steps and see which one gives you a negative value.
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