document.write( "Question 432518: 8x^2-2x=8 \n" ); document.write( "
Algebra.Com's Answer #299944 by jorel1380(3719)\"\" \"About 
You can put this solution on YOUR website!
If 8x^2-2x=8, then;
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\n" ); document.write( "4x^2-x=4
\n" ); document.write( "4x^2-x-4=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"4x%5E2%2B-1x%2B-4+=+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%2A4%2A-4=65\".
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\n" ); document.write( " Discriminant d=65 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--1%2B-sqrt%28+65+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+65+%29%29%2F2%5C4+=+1.13278221853732\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-1%29-sqrt%28+65+%29%29%2F2%5C4+=+-0.882782218537319\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B-1x%2B-4\" can be factored:
\n" ); document.write( " \"4x%5E2%2B-1x%2B-4+=+4%28x-1.13278221853732%29%2A%28x--0.882782218537319%29\"
\n" ); document.write( " Again, the answer is: 1.13278221853732, -0.882782218537319.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-1%2Ax%2B-4+%29\"
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