SOLUTION: If x and y are roots of the quadratic equation {{{ax^2+bx+c=0}}}, show that {{{x-y}}} = {{{(sqrt(b^2-4ac))/a}}} such that {{{x>y}}}. I need steps. Thanks.

SOLUTION: If x and y are roots of the quadratic equation {{{ax^2+bx+c=0}}}, show that {{{x-y}}} = {{{(sqrt(b^2-4ac))/a}}} such that {{{x>y}}}. I need steps. Thanks.

Algebra.Com

Question 702261: If x and y are roots of the quadratic equation , show that = such that .
I need steps. Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If x and y are roots of , where x > y

then by the quadratic formula

So when you subtract y from x, you get

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