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.
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-> 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.
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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