document.write( "Question 174386: (x-3)²+(x+2)²+17 \n" ); document.write( "
Algebra.Com's Answer #129338 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\"%28x-3%29%5E2%2B%28x%2B2%29%5E2%2B17=0\" Should be equal to \"0\" to make it an eqn.
\n" ); document.write( "Let's expand:
\n" ); document.write( "\"x%5E2-6x%2B9%2Bx%5E2%2B4x%2B4%2B17=0\"
\n" ); document.write( "\"2x%5E2-2x%2B30=0\", divide whole eqn by 2:
\n" ); document.write( "\"x%5E2-x%2B15=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 \"1x%5E2%2B-1x%2B15+=+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=%28-1%29%5E2-4%2A1%2A15=-59\".
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\n" ); document.write( " The discriminant -59 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 -59 is + or - \"sqrt%28+59%29+=+7.68114574786861\".
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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+1%2Ax%5E2%2B-1%2Ax%2B15+%29\"

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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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