document.write( "Question 5115: Factor the polynomial. Please explain and solve:\r
\n" ); document.write( "\n" ); document.write( "32n (n is to the second power) - 80n +50 \n" ); document.write( "
Algebra.Com's Answer #2637 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\"32n%5E2-80n%2B50\"\r
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"an%5E2%2Bbn%2Bc=0\" (in our case \"32n%5E2%2B-80n%2B50+=+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=%28-80%29%5E2-4%2A32%2A50=0\".
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\n" ); document.write( " Discriminant d=0 is zero! That means that there is only one solution: \"n+=+%28-%28-80%29%29%2F2%5C32\".
\n" ); document.write( " Expression can be factored: \"32n%5E2%2B-80n%2B50+=+32%28n-1.25%29%2A%28n-1.25%29\"
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\n" ); document.write( " Again, the answer is: 1.25, 1.25.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+32%2Ax%5E2%2B-80%2Ax%2B50+%29\"
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