SOLUTION: Find the quadratic equation with integer coefficients such that the sum of the roots is {{{ 3/2 }}} and the product of the roots is {{{ 1/4 }}} .
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-> SOLUTION: Find the quadratic equation with integer coefficients such that the sum of the roots is {{{ 3/2 }}} and the product of the roots is {{{ 1/4 }}} .
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Question 289436: Find the quadratic equation with integer coefficients such that the sum of the roots is and the product of the roots is . Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! Let the roots be x & y
xy=1/4
x+y=3/2
x=3/2 -y
y(3/2 -y)=1/4
3y/2 - y^2 = 1/4
6y-4y^2=1
4y^2-6y+1=0
y=(3-sqrt(5)), y=(3+sqrt(5)) or vice versa.
y-(3-sqrt(5))* y-(3+sqrt(5))
=y^2-6y+4
.
Ed
