document.write( "Question 27472: 5x^2+18x+1=0 \n" ); document.write( "

Algebra.Com's Answer #14933 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Quadratic with a=5,b=18,c=1
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"5x%5E2%2B18x%2B1+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%2818%29%5E2-4%2A5%2A1=304\"$ .
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\n" ); document.write( " Discriminant d=304 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-18%2B-sqrt%28+304+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%2818%29%2Bsqrt%28+304+%29%29%2F2%5C5+=+-0.0564404225837304\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%2818%29-sqrt%28+304+%29%29%2F2%5C5+=+-3.54355957741627\"$
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\n" ); document.write( " Quadratic expression $\"5x%5E2%2B18x%2B1\"$ can be factored:
\n" ); document.write( " $\"5x%5E2%2B18x%2B1+=+5%28x--0.0564404225837304%29%2A%28x--3.54355957741627%29\"$
\n" ); document.write( " Again, the answer is: -0.0564404225837304, -3.54355957741627.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B18%2Ax%2B1+%29\"$

\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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