SOLUTION: Write the quadratic equation given the sum of the roots equal 2 and the product of the roots equal 3/4

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Question 309355: Write the quadratic equation given the sum of the roots equal 2 and the product of the roots equal 3/4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a quadratic equation, y=ax%5E2%2Bbx%2Bc,
the product of the roots equals c%2Fa
the sum of the roots equals -b%2Fa
-b%2Fa=2
b=-2a
.
.
c%2Fa=3%2F4
c=%283%2F4%29a
.
.
.
y=ax%5E2-2ax%2B%283%2F4%29a
where a can take on any non-zero value.