SOLUTION: Write a quadratic equation in standard form with the given solution set. {-1/6, 3/8} _______=0 (Type a quadratic equation whose terms have 1 as their greatest common factor.)

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write a quadratic equation in standard form with the given solution set. {-1/6, 3/8} _______=0 (Type a quadratic equation whose terms have 1 as their greatest common factor.)      Log On


   



Question 755963: Write a quadratic equation in standard form with the given solution set.
{-1/6, 3/8}
_______=0
(Type a quadratic equation whose terms have 1 as their greatest common factor.)

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Write a quadratic equation in standard form with the given solution set.
{-1/6, 3/8}
_______=0
(Type a quadratic equation whose terms have 1 as their greatest common factor.)
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A:
sum of the roots = -1%2F6 + 3%2F8 = 5%2F24
product of the roots = %28-1%2F6%29%283%2F8%29 = -1%2F16
The Quadratic Equation is
x%5E2 - sumx + product = 0
x%5E2 - %285%2F24%29x + -1%2F16 = 0, multiply both sides by 48
highlight%2848x%5E2+-+10x+-+3%29 = 0