document.write( "Question 289077: We are finding the equation that these functions come from, so we are basically solving backwards. the Problem is: find F(x)if F(2+i)=0 and F(2-i)=0. I have tried plugging in x for i and other random things But not sure what exactly to do. Thank you for your help :) \n" ); document.write( "

Algebra.Com's Answer #209514 by scott8148(6628) $\"\"$ $\"About$

You can put this solution on YOUR website!
since F(x) is zero for these two values, they are roots of the equation
\n" ); document.write( "___ complex roots occur in conjugate pairs; that's why these two are the same, except for the sign\r
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\n" ); document.write( "\n" ); document.write( "if r is a root, then (x-r) is a factor\r
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\n" ); document.write( "\n" ); document.write( "F(x) = [x - (2+i)] [x - (2-i)] = (x - 2 - i) (x - 2 + i) = x^2 - 4x + 5 \n" ); document.write( "

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