document.write( "Question 192529This question is from textbook saxon algebra 2
\n" ); document.write( ": Write a quadratic equation whose roots are 6+4i and 6-4i.
\n" ); document.write( "My answer is x^2-12x+40=0
\n" ); document.write( "Is this correct? \n" ); document.write( "

Algebra.Com's Answer #144561 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the quadratic equation whose roots are:
\n" ); document.write( " $\"x+=+%286%2B4i%29\"$ and $\"x+=+%286-4i%29\"$
\n" ); document.write( "If these are the roots, then the factors of the equation are:
\n" ); document.write( " $\"x-%286%2B4i%29\"$ and $\"x-%286-4i%29\"$
\n" ); document.write( "To find the equation with these factors, multiply the factors.
\n" ); document.write( " $\"%28x-%286%2B4i%29%29%28x-%286-4i%29%29+=+highlight%28x%5E2+-12x+%2B52%29\"$
\n" ); document.write( "One way you could have checked your answer would have been to solve your equation for x using the quadratic formula. Let's see what would we get:
\n" ); document.write( " $\"x%5E2-12x%2B40+=+0\"$
\n" ); document.write( "Use $\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"$ and a = 1, b = -12, and c = 40.
\n" ); document.write( " $\"x+=+%28-%28-12%29%2B-sqrt%28%28-12%29%5E2-4%281%29%2840%29%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%2812%2B-sqrt%28144-160%29%29%2F2\"$
\n" ); document.write( " $\"x+=+%2812%2B-sqrt%28-16%29%29%2F2\"$ or...
\n" ); document.write( " $\"x+=+6%2B2i\"$ and $\"x+=+6-2i\"$ Not quite the same as the given roots. \n" ); document.write( "

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