document.write( "Question 310993: 3m^2+ 7m+ 4 \n" ); document.write( "

Algebra.Com's Answer #222492 by JBarnum(2146) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"am%5E2%2Bbm%2Bc=0\"$ (in our case $\"3m%5E2%2B7m%2B4+=+0\"$ ) has the following solutons:
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\n" ); document.write( " $\"m%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
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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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%287%29%5E2-4%2A3%2A4=1\"$ .
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\n" ); document.write( " Discriminant d=1 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-7%2B-sqrt%28+1+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"m%5B1%5D+=+%28-%287%29%2Bsqrt%28+1+%29%29%2F2%5C3+=+-1\"$
\n" ); document.write( " $\"m%5B2%5D+=+%28-%287%29-sqrt%28+1+%29%29%2F2%5C3+=+-1.33333333333333\"$
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\n" ); document.write( " Quadratic expression $\"3m%5E2%2B7m%2B4\"$ can be factored:
\n" ); document.write( " $\"3m%5E2%2B7m%2B4+=+3%28m--1%29%2A%28m--1.33333333333333%29\"$
\n" ); document.write( " Again, the answer is: -1, -1.33333333333333.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B7%2Ax%2B4+%29\"$

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