document.write( "Question 770747: Given that the roots of a quadratic $\"y=x%5E2%2Bax%2Bb\"$ are -3 and 2. Find the values of a and b. \n" ); document.write( "

Algebra.Com's Answer #469762 by Jc0110(165) $\"\"$ $\"About$

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$\"y=x%5E2%2Bax%2Bb\"$
\n" ); document.write( " $\"x%5E2-%28Sum+of+roots%29x%2B%28Product+of+roots%29=0\"$
\n" ); document.write( " $\"x%5E2-%28-3%2B2%29x%2B%28-3%2A2%29=0\"$
\n" ); document.write( " $\"x%5E2-%28-1%29x%2B%28-6%29=0\"$
\n" ); document.write( " $\"x%5E2%2Bx-6=0\"$ ... Compare this equation with $\"y=x%5E2%2Bax%2Bb\"$
\n" ); document.write( " $\"x%5E2%2Bax%2Bb=y\"$
\n" ); document.write( " $\"x%5E2%2Bx-6=0\"$
\n" ); document.write( "Therefore, a=1 and b=-6. \n" ); document.write( "

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