document.write( "Question 238815: Can you please help me sove this problem. I use the quadratic formula, but I get stuck so maybe that's not the method to use on this problem. Can you help me please?
\n" ); document.write( "\"x%5E2%2B8x%2B32=0\"
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Algebra.Com's Answer #175466 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
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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 \"1x%5E2%2B8x%2B32+=+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=%288%29%5E2-4%2A1%2A32=-64\".
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\n" ); document.write( " The discriminant -64 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 -64 is + or - \"sqrt%28+64%29+=+8\".
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\n" ); document.write( " The solution is \"x%5B12%5D+=+%28-8%2B-i%2Asqrt%28+-64+%29%29%2F2%5C1+=++%28-8%2B-i%2A8%29%2F2%5C1+\", 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+1%2Ax%5E2%2B8%2Ax%2B32+%29\"

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\n" ); document.write( "x = -4 ± 4i
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