document.write( "Question 881773: Three times the square of a number is two more than five times the number. Find the number, and explain your solution.
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Algebra.Com's Answer #532483 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
3n^2 = 5n +2
\n" ); document.write( "3n^2 - 5n - 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 \"1x%5E2%2B-5x%2B-2+=+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=%28-5%29%5E2-4%2A1%2A-2=33\".
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\n" ); document.write( " Discriminant d=33 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--5%2B-sqrt%28+33+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-5%29%2Bsqrt%28+33+%29%29%2F2%5C1+=+5.37228132326901\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-5%29-sqrt%28+33+%29%29%2F2%5C1+=+-0.372281323269014\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-5x%2B-2\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-5x%2B-2+=+1%28x-5.37228132326901%29%2A%28x--0.372281323269014%29\"
\n" ); document.write( " Again, the answer is: 5.37228132326901, -0.372281323269014.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-5%2Ax%2B-2+%29\"
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