document.write( "Question 446676: how do i factor 5x^2+12x-15
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Algebra.Com's Answer #307598 by chriswen(106)\"\" \"About 
You can put this solution on YOUR website!
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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%2B12x%2B-15+=+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%2A5%2A-15=444\".
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\n" ); document.write( " Discriminant d=444 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-12%2B-sqrt%28+444+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2812%29%2Bsqrt%28+444+%29%29%2F2%5C5+=+0.907130750570548\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2812%29-sqrt%28+444+%29%29%2F2%5C5+=+-3.30713075057055\"
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\n" ); document.write( " Quadratic expression \"5x%5E2%2B12x%2B-15\" can be factored:
\n" ); document.write( " \"5x%5E2%2B12x%2B-15+=+5%28x-0.907130750570548%29%2A%28x--3.30713075057055%29\"
\n" ); document.write( " Again, the answer is: 0.907130750570548, -3.30713075057055.\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%2B12%2Ax%2B-15+%29\"
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