document.write( "Question 580406: 2x^2+12x+1=0 \n" ); document.write( "

Algebra.Com's Answer #371243 by dfrazzetto(283) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x^2+12x+1=0\r
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"2x%5E2%2B12x%2B1+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%2812%29%5E2-4%2A2%2A1=136\"$ .
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\n" ); document.write( " Discriminant d=136 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-12%2B-sqrt%28+136+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%2812%29%2Bsqrt%28+136+%29%29%2F2%5C2+=+-0.0845240525773496\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%2812%29-sqrt%28+136+%29%29%2F2%5C2+=+-5.91547594742265\"$
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\n" ); document.write( " Quadratic expression $\"2x%5E2%2B12x%2B1\"$ can be factored:
\n" ); document.write( " $\"2x%5E2%2B12x%2B1+=+2%28x--0.0845240525773496%29%2A%28x--5.91547594742265%29\"$
\n" ); document.write( " Again, the answer is: -0.0845240525773496, -5.91547594742265.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B12%2Ax%2B1+%29\"$

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