document.write( "Question 902888: 3/4x^2+8x+20=0 \n" ); document.write( "
Algebra.Com's Answer #547759 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
3/4x^2+8x+20=0 Multiplying thru by 4 so as all denominators = 1
\n" ); document.write( "3x^2 + 32x + 80 = 0
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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%2B32x%2B80+=+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=%2832%29%5E2-4%2A3%2A80=64\".
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\n" ); document.write( " Discriminant d=64 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-32%2B-sqrt%28+64+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%2832%29%2Bsqrt%28+64+%29%29%2F2%5C3+=+-4\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%2832%29-sqrt%28+64+%29%29%2F2%5C3+=+-6.66666666666667\"
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\n" ); document.write( " Quadratic expression \"3x%5E2%2B32x%2B80\" can be factored:
\n" ); document.write( " \"3x%5E2%2B32x%2B80+=+3%28x--4%29%2A%28x--6.66666666666667%29\"
\n" ); document.write( " Again, the answer is: -4, -6.66666666666667.\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%2B32%2Ax%2B80+%29\"
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