document.write( "Question 40544: please help
\n" ); document.write( " what are the factors of \"m%5E2-14m%2B48\"?
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Algebra.Com's Answer #25958 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
\"m%5E2-14m%2B48\"
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"am%5E2%2Bbm%2Bc=0\" (in our case \"1m%5E2%2B-14m%2B48+=+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=%28-14%29%5E2-4%2A1%2A48=4\".
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\n" ); document.write( " Discriminant d=4 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--14%2B-sqrt%28+4+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"m%5B1%5D+=+%28-%28-14%29%2Bsqrt%28+4+%29%29%2F2%5C1+=+8\"
\n" ); document.write( " \"m%5B2%5D+=+%28-%28-14%29-sqrt%28+4+%29%29%2F2%5C1+=+6\"
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\n" ); document.write( " Quadratic expression \"1m%5E2%2B-14m%2B48\" can be factored:
\n" ); document.write( " \"1m%5E2%2B-14m%2B48+=+1%28m-8%29%2A%28m-6%29\"
\n" ); document.write( " Again, the answer is: 8, 6.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-14%2Ax%2B48+%29\"

\n" ); document.write( "\n" ); document.write( "\"%28m+-+8%29%28m+-+6%29\"
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