document.write( "Question 403927: Find all solutions of the equation x^2+x+1=0 and express them in the form a+bi. \n" ); document.write( "
Algebra.Com's Answer #285540 by ankor@dixie-net.com(22740)\"\" \"About 
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Find all solutions of the equation: x^2 + x + 1 = 0
\n" ); document.write( "Solve this using the completing square method
\n" ); document.write( "x^2 + x + ___ = -1
\n" ); document.write( "Divide the coefficient of x by 2 and square it(1/2)^2, add to both sides
\n" ); document.write( "x^2 + x + .25 = - 1 + .25
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\n" ); document.write( "x^2 + x + .25 = -.75
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\n" ); document.write( "(x+.5)^2 = -.75
\n" ); document.write( ":
\n" ); document.write( "x + .5 = +/-\"sqrt%28-.75%29\"
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\n" ); document.write( "x + .5 = +/-\".5i%2Asqrt%283%29\"
\n" ); document.write( ":
\n" ); document.write( "x = \"-.5+%2B+.5i%2Asqrt%283%29\"
\n" ); document.write( "And
\n" ); document.write( "x = \"-.5+-+.5i%2Asqrt%283%29\" \n" ); document.write( "
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