document.write( "Question 882178: twice the square of a no. is more than eleven times the number by 21.the number can have which of the following value \n" ); document.write( "
Algebra.Com's Answer #532725 by pj66(7)\"\" \"About 
You can put this solution on YOUR website!
Let the no. be x.
\n" ); document.write( "=> 2*x^2=11*x+21
\n" ); document.write( "since, twice the square of a no. is more than eleven times the number by 21.
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"2x%5E2%2B-11x%2B-21+=+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%2A2%2A-21=289\".
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\n" ); document.write( " Discriminant d=289 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--11%2B-sqrt%28+289+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+289+%29%29%2F2%5C2+=+7\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-11%29-sqrt%28+289+%29%29%2F2%5C2+=+-1.5\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B-11x%2B-21\" can be factored:
\n" ); document.write( " \"2x%5E2%2B-11x%2B-21+=+2%28x-7%29%2A%28x--1.5%29\"
\n" ); document.write( " Again, the answer is: 7, -1.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-11%2Ax%2B-21+%29\"
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