document.write( "Question 690252: How would i solve this equation in radical and decimal form 2n^2-11n-76=0? \n" ); document.write( "
Algebra.Com's Answer #426229 by ReadingBoosters(3246)\"\" \"About 
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"an%5E2%2Bbn%2Bc=0\" (in our case \"2n%5E2%2B-11n%2B-76+=+0\") has the following solutons:
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\n" ); document.write( " \"n%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-76=729\".
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\n" ); document.write( " Discriminant d=729 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--11%2B-sqrt%28+729+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"n%5B1%5D+=+%28-%28-11%29%2Bsqrt%28+729+%29%29%2F2%5C2+=+9.5\"
\n" ); document.write( " \"n%5B2%5D+=+%28-%28-11%29-sqrt%28+729+%29%29%2F2%5C2+=+-4\"
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\n" ); document.write( " Quadratic expression \"2n%5E2%2B-11n%2B-76\" can be factored:
\n" ); document.write( " \"2n%5E2%2B-11n%2B-76+=+2%28n-9.5%29%2A%28n--4%29\"
\n" ); document.write( " Again, the answer is: 9.5, -4.\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-76+%29\"
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