SOLUTION: Find a quadratic equation integer coefficients and the given solution set. { -7/4, 7/4}

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Question 750597: Find a quadratic equation integer coefficients and the given solution set.
{ -7/4, 7/4}

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find a quadratic equation integer coefficients and the given solution set.
{ -7/4, 7/4}
:
From the two factors
x = -7%2F4
multiply both sides by 4
4x = -7
Add 7 to both sides
4x + 7 = 0
Treat the other root the same way and you have:
4x - 7 = 0
:
FOIL (4x+7)(4x-7) = 16x^2 - 28x + 28x - 49
(16x^2 - 49) is the equation