document.write( "Question 289436: Find the quadratic equation with integer coefficients such that the sum of the roots is $\"+3%2F2+\"$ and the product of the roots is $\"+1%2F4+\"$ . \n" ); document.write( "

Algebra.Com's Answer #209646 by edjones(8007) $\"\"$ $\"About$

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Let the roots be x & y
\n" ); document.write( "xy=1/4
\n" ); document.write( "x+y=3/2
\n" ); document.write( "x=3/2 -y
\n" ); document.write( "y(3/2 -y)=1/4
\n" ); document.write( "3y/2 - y^2 = 1/4
\n" ); document.write( "6y-4y^2=1
\n" ); document.write( "4y^2-6y+1=0
\n" ); document.write( "y=(3-sqrt(5)), y=(3+sqrt(5)) or vice versa.
\n" ); document.write( "y-(3-sqrt(5))* y-(3+sqrt(5))
\n" ); document.write( "=y^2-6y+4
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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