document.write( "Question 744171: Looking to write a quadratic equation in the form ax^2+bx+c=0 , having roots of 1+i and 1-i. Not good with the \"i\" usage. Does below look correct?\r
\n" ); document.write( "\n" ); document.write( "For X1 I foiled (1+i)(1-i) to get -1
\n" ); document.write( "X2 would be it's conjugate, 1\r
\n" ); document.write( "\n" ); document.write( "Using quadratic equation (x-x1)(x-x2) I came up with x^2+0x-1=0\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help!
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Algebra.Com's Answer #453217 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
USING YOUR STRATEGY:
\n" ); document.write( "A simple equation with $\"1%2Bi\"$ and $\"1-i\"$ for roots is
\n" ); document.write( " $\"%28x-%281%2Bi%29%29%28x-%281-i%29%29=0\"$ --> $\"%28x-1-i%29%28x-1%2Bi%29=0\"$ --> $\"%28x-1%29%5E2-i%5E2=0\"$ --> $\"%28x-1%29%5E2%2B1=0\"$ --> $\"x%5E2-2x%2B1%2B1=0\"$ --> $\"highlight%28x%5E2-2x%2B2=0%29\"$
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\n" ); document.write( "ANOTHER APPROACH:
\n" ); document.write( "x = 1 ą i --> x-1 = ą i --> $\"%28x-1%29%5E2=i%5E2\"$ --> $\"x%5E2-2x%2B1=-1\"$ --> $\"x%5E2-2x%2B1%2B1=0\"$ --> $\"highlight%28x%5E2-2x%2B2=0%29\"$ \n" ); document.write( "

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