document.write( "Question 555494: 6x^2+17x+5=0 \n" ); document.write( "
Algebra.Com's Answer #361795 by Maths68(1474)\"\" \"About 
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6x^2+17x+5=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"6x%5E2%2B17x%2B5+=+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=%2817%29%5E2-4%2A6%2A5=169\".
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\n" ); document.write( " Discriminant d=169 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-17%2B-sqrt%28+169+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2817%29%2Bsqrt%28+169+%29%29%2F2%5C6+=+-0.333333333333333\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2817%29-sqrt%28+169+%29%29%2F2%5C6+=+-2.5\"
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\n" ); document.write( " Quadratic expression \"6x%5E2%2B17x%2B5\" can be factored:
\n" ); document.write( " \"6x%5E2%2B17x%2B5+=+6%28x--0.333333333333333%29%2A%28x--2.5%29\"
\n" ); document.write( " Again, the answer is: -0.333333333333333, -2.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B17%2Ax%2B5+%29\"
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