document.write( "Question 43653: I need help on the following: Find the solutions to the equation: x^2+2x+5=0. Thanks! \n" ); document.write( "
Algebra.Com's Answer #28649 by tutorcecilia(2152)\"\" \"About 
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You will need to use the quadratic formula because this problem cannot be factored evenly.\r
\n" ); document.write( "\n" ); document.write( "Plug the values into the quadratic formula:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "Simplify and solve the problem.
\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+4+-+20+%29%29%2F%282%29+\"
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\n" ); document.write( "Continue to simplify:
\n" ); document.write( "\"x+=+%28-2+%2B-+sqrt%28+-16+%29%29%2F%282%29+\"
\n" ); document.write( "The square root of -16 = 4i
\n" ); document.write( "Since there is a (-1) under the radical sign, the answer will contain the imaginary number (i):
\n" ); document.write( "(-2 plus or minus 4i)/2
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\n" ); document.write( "Factor out -2:
\n" ); document.write( "-2(1 plus or minus 2i)/2
\n" ); document.write( ".
\n" ); document.write( "Cancel out the 2's:
\n" ); document.write( "Answer: -1 plus or minus 2i\r
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