document.write( "Question 766506: Derive a quadratic equation using: x= [-6 +- (5 sqrt 2)]/ 3 \n" ); document.write( "

Algebra.Com's Answer #466956 by reviewermath(1029) $\"\"$ $\"About$

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Q:
\n" ); document.write( "Derive a quadratic equation using: x= $\"%28-6+%2B-+5sqrt%282%29%29%2F3\"$ .
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\n" ); document.write( "A:
\n" ); document.write( "The sum of the roots is $\"%28-6+%2B+5sqrt%282%29%29%2F3\"$ + $\"%28-6+-+5sqrt%282%29%29%2F3\"$ = -4.
\n" ); document.write( "The product of the roots is $\"%28%28-6+%2B+5sqrt%282%29%29%2F3%29%28%28-6+-+5sqrt%282%29%29%2F3%29\"$ = $\"%2836+-+50%29%2F9\"$ = $\"-14%2F9\"$ .
\n" ); document.write( "The quadratic equation is $\"x%5E2\"$ - (sum of roots) $\"x\"$ + (product of roots) = 0.
\n" ); document.write( " $\"x%5E2+%2B+4x+-+14%2F9+=+0\"$ , multiply both sides by 9.
\n" ); document.write( "ANSWER: $\"highlight%289x%5E2+%2B+36x+-+14+=+0%29\"$ \n" ); document.write( "

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