document.write( "Question 964757: Please help me factor the trinomials.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \"25x%5E2+-15x+%2B+2\"
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #589602 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
\"25x%5E2+-15x+%2B+2\"\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"25x%5E2%2B-15x%2B2+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-15%29%5E2-4%2A25%2A2=25\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=25 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--15%2B-sqrt%28+25+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%28-15%29%2Bsqrt%28+25+%29%29%2F2%5C25+=+0.4\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-15%29-sqrt%28+25+%29%29%2F2%5C25+=+0.2\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"25x%5E2%2B-15x%2B2\" can be factored:
\n" ); document.write( " \"25x%5E2%2B-15x%2B2+=+25%28x-0.4%29%2A%28x-0.2%29\"
\n" ); document.write( " Again, the answer is: 0.4, 0.2.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+25%2Ax%5E2%2B-15%2Ax%2B2+%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );