How to Solve Quadratics Set to Zero

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Solving quadratics set to zero is a lot easier than most people realize. Solve quadratics set to zero with help from an experienced math professional in this free video clip.

Part of the Video Series: Solving Math Problems
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Hi, I'm Ryan Ault. I'm a physicist and this is how to solve quadratics set to 0. Now a quadratic equation could look like A times X squared plus B times X plus C and in this case, it's set to 0. Now A, B and C are all constant coefficients, X is a variable that can change and we can solve for X by using the quadratic equation. We find that X is equal to negative B plus or minus the square root of B squared minus 4 times A times C and this whole term is divided by 2 times A. Now we can put in the coefficients for example, we could say A is equal to 1 for ease of calculation, B is equal to 0 meaning this term would actually disappear and we could also set C equal to 1 and we find that X is equal to negative B. So 0 plus or minus the square root of B squared which is 0 minus 4 times A times C which is just 4 over 2 times A which is 2 and we find it's equal to plus or minus the square root of negative 4 over 2. If we are going to use imaginary mathematics we know the square root of 1 is just I and we find that X is equal to I times the square root of 4, can't forget the plus or minus over 2 and the square root of 4 is just 2. So we find that X is equal to plus or minus I. I'm Ryan Ault and this is how to solve a quadratic that is set to 0.

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