document.write( "Question 644101: Find all real and imaginary roots of this equation: x^2-2x+6=0 \n" ); document.write( "
Algebra.Com's Answer #404816 by lwsshak3(11628)\"\" \"About 
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Find all real and imaginary roots of this equation: x^2-2x+6=0
\n" ); document.write( "use complete-the-square method:
\n" ); document.write( "x^2-2x+6=0
\n" ); document.write( "(x^2-2x+1)=-6+1
\n" ); document.write( "(x-1)^2=-5
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x-1=±√-5
\n" ); document.write( "x=1±√5i
\n" ); document.write( "x=1+√5i
\n" ); document.write( "or
\n" ); document.write( "x=1-√5i
\n" ); document.write( "real roots: none \n" ); document.write( "
\n" );