document.write( "Question 903003: Solve by using the quadratic formula.
\n" ); document.write( "4/w^2-11/w+6=0
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Algebra.Com's Answer #547637 by richwmiller(17219)\"\" \"About 
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4/w^2*w^2-11w*w^2/w^2+6w^2=0
\n" ); document.write( "4-11w+6w^2=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"6x%5E2%2B-11x%2B4+=+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=%28-11%29%5E2-4%2A6%2A4=25\".
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\n" ); document.write( " Discriminant d=25 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--11%2B-sqrt%28+25+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+25+%29%29%2F2%5C6+=+1.33333333333333\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-11%29-sqrt%28+25+%29%29%2F2%5C6+=+0.5\"
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\n" ); document.write( " Quadratic expression \"6x%5E2%2B-11x%2B4\" can be factored:
\n" ); document.write( " \"6x%5E2%2B-11x%2B4+=+6%28x-1.33333333333333%29%2A%28x-0.5%29\"
\n" ); document.write( " Again, the answer is: 1.33333333333333, 0.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B-11%2Ax%2B4+%29\"
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