document.write( "Question 873477: Write a quadratic equation such that the sum of its roots is 6 and the product of its roots is -27 \n" ); document.write( "

Algebra.Com's Answer #526886 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Write a quadratic equation such that the sum of its roots is 6 and the product of its roots is -27
\n" ); document.write( "Let x = a, and x = b
\n" ); document.write( "a + b = 6
\n" ); document.write( "b = -a + 6
\n" ); document.write( "ab = -27
\n" ); document.write( "replace b with (-a+6)
\n" ); document.write( "a(-a+6) = -27
\n" ); document.write( "-a^2 + 6a + 27 = 0
\n" ); document.write( "a^2 - 6a - 27 = 0
\n" ); document.write( "(a-9)(a+3) = 0
\n" ); document.write( "a = 9, then b = -3
\n" ); document.write( "a = -3 then b = 9
\n" ); document.write( ":
\n" ); document.write( "the quadratic equation: y = x^2 - 6x - 27 \n" ); document.write( "

\n" );