document.write( "Question 1120513: Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4. \n" ); document.write( "
Algebra.Com's Answer #736177 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers whose roots are 2/3 and -3/4.
\n" ); document.write( "Two factors derived from these roots
\n" ); document.write( "x = 2/3
\n" ); document.write( "3x = 2
\n" ); document.write( "3x - 2 = 0
\n" ); document.write( "and
\n" ); document.write( "x = -3/4
\n" ); document.write( "4x = -3
\n" ); document.write( "4x + 3 = 0
\n" ); document.write( "therefore
\n" ); document.write( "(3x - 2)(4x + 3)
\n" ); document.write( "FOIL
\n" ); document.write( "12x^2 + 9x - 8x - 6
\n" ); document.write( "y = 12x^2 + x - 6 is the quadratic equation
\n" ); document.write( "
\n" );