document.write( "Question 83030: 3x^2+12x+8=0 \n" ); document.write( "
Algebra.Com's Answer #59580 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
To solve for x we can use the quadratic formula:\r
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"3x%5E2%2B12x%2B8+=+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%2A3%2A8=48\".
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\n" ); document.write( " Discriminant d=48 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-12%2B-sqrt%28+48+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2812%29%2Bsqrt%28+48+%29%29%2F2%5C3+=+-0.845299461620749\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2812%29-sqrt%28+48+%29%29%2F2%5C3+=+-3.15470053837925\"
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\n" ); document.write( " Quadratic expression \"3x%5E2%2B12x%2B8\" can be factored:
\n" ); document.write( " \"3x%5E2%2B12x%2B8+=+3%28x--0.845299461620749%29%2A%28x--3.15470053837925%29\"
\n" ); document.write( " Again, the answer is: -0.845299461620749, -3.15470053837925.\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%2B12%2Ax%2B8+%29\"
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