document.write( "Question 39154: what does \"x\" equal?\r
\n" ); document.write( "\n" ); document.write( "(x+1)(x-3)=4\r
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\n" ); document.write( "\n" ); document.write( "What does \"x\" equal?\r
\n" ); document.write( "\n" ); document.write( "x(x-2)= -6 \n" ); document.write( "
Algebra.Com's Answer #24594 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%2B1%29%28x-3%29=4\"
\n" ); document.write( "\"x%5E2-2x-3=4\"
\n" ); document.write( "\"x%5E2-2x-7=0\"
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-2x%2B-7+=+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=%28-2%29%5E2-4%2A1%2A-7=32\".
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\n" ); document.write( " Discriminant d=32 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--2%2B-sqrt%28+32+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+32+%29%29%2F2%5C1+=+3.82842712474619\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-2%29-sqrt%28+32+%29%29%2F2%5C1+=+-1.82842712474619\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-2x%2B-7\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-2x%2B-7+=+1%28x-3.82842712474619%29%2A%28x--1.82842712474619%29\"
\n" ); document.write( " Again, the answer is: 3.82842712474619, -1.82842712474619.\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-2%2Ax%2B-7+%29\"

\n" ); document.write( "\n" ); document.write( "x(x-2)= -6
\n" ); document.write( "\"x%5E2+-+2x+%2B+6+=+0\"
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-2x%2B6+=+0\") has the following solutons:
\n" ); document.write( "
\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.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-2%29%5E2-4%2A1%2A6=-20\".
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\n" ); document.write( " The discriminant -20 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 -20 is + or - \"sqrt%28+20%29+=+4.47213595499958\".
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\n" ); document.write( " The solution is
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\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-2%2Ax%2B6+%29\"
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