document.write( "Question 246130: Please help me solve the equation: \"+x%2B5%2F7x=8%2F13%2F%28-7%29\" \n" ); document.write( "
Algebra.Com's Answer #179772 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
\"x%2B5%2F7x=8%2F13%2F%28-7%29\"
\n" ); document.write( "\"%287x%5E2+%2B+5%29%2F7x+=+8%2F%28-91%29\"
\n" ); document.write( "\"-91%2A%287x%5E2+%2B+5%29+=+56x\"
\n" ); document.write( "\"-91x%5E2+%2B+65+=+8x\"
\n" ); document.write( "\"91x%5E2+%2B+8x+-+65+=+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 \"91x%5E2%2B8x%2B-65+=+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%2A91%2A-65=23724\".
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\n" ); document.write( " Discriminant d=23724 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-8%2B-sqrt%28+23724+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%288%29%2Bsqrt%28+23724+%29%29%2F2%5C91+=+0.802340504592974\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%288%29-sqrt%28+23724+%29%29%2F2%5C91+=+-0.890252592505062\"
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\n" ); document.write( " Quadratic expression \"91x%5E2%2B8x%2B-65\" can be factored:
\n" ); document.write( " \"91x%5E2%2B8x%2B-65+=+%28x-0.802340504592974%29%2A%28x--0.890252592505062%29\"
\n" ); document.write( " Again, the answer is: 0.802340504592974, -0.890252592505062.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+91%2Ax%5E2%2B8%2Ax%2B-65+%29\"

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