Question 755963
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 = {{{-1/6}}} + {{{3/8}}} = {{{5/24}}}
product of the roots = {{{(-1/6)(3/8)}}} = {{{-1/16}}}
The Quadratic Equation is
{{{x^2}}} - sum{{{x}}} + product = 0
{{{x^2}}} - {{{(5/24)x}}} + {{{-1/16}}} = 0, multiply both sides by 48
{{{highlight(48x^2 - 10x - 3)}}} = 0