document.write( "Question 179010This question is from textbook
\n" ); document.write( ": Use the quadratic formula to solve: 5x^2+12=-6x \n" ); document.write( "
Algebra.Com's Answer #133949 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
\"5x%5E2%2B6x%2B12=0\"
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"5x%5E2%2B6x%2B12+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%286%29%5E2-4%2A5%2A12=-204\".
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\n" ); document.write( " The discriminant -204 is less than zero. That means that there are no solutions among real numbers.

\n" ); document.write( " If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

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\n" ); document.write( " In the field of imaginary numbers, the square root of -204 is + or - \"sqrt%28+204%29+=+14.2828568570857\".
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\n" ); document.write( " The solution is , or
\n" ); document.write( " Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B6%2Ax%2B12+%29\"
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