document.write( "Question 63418: more w.s. problems yay! Solve by factoring
\n" ); document.write( "\"2x%5E2-11x%2B15=0\"
\n" ); document.write( "also \"11x=3x%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Solve these by the quadractic formula? (use simplest radical form)
\n" ); document.write( "a. \"x%5E2-2x-11=0\"
\n" ); document.write( "b. \"4x%5E2%2B4x=5\"
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Algebra.Com's Answer #44323 by sarahschober(35)\"\" \"About 
You can put this solution on YOUR website!
\"2x%5E2-11x%2B15=0\"= \"%28x-3%29%282x-5%29\"
\n" ); document.write( "\"11x=3x%5E2\"=\"x%283x-11%29\"
\n" ); document.write( "\"x%5E2-2x-11=0\"=
\n" ); document.write( "\"1%2B2sqrt%283%29and+1-2sqrt%283%29\"
\n" ); document.write( "\"see+\"\"more\"\"+below\"
\n" ); document.write( "\"4x%5E2%2B4x=5\"=
\n" ); document.write( "\"%28%281%2Bsqrt%286%29%29%2F2%29+and+%28%281-sqrt%286%29%29%2F2%29\"
\n" ); document.write( "\"see+\"\"more\"\"+below\"
\n" ); document.write( "\"x%5E2-2x-11=0\"=\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-2x%2B-11+=+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=%28-2%29%5E2-4%2A1%2A-11=48\".
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\n" ); document.write( " Discriminant d=48 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--2%2B-sqrt%28+48+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+48+%29%29%2F2%5C1+=+4.46410161513775\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-2%29-sqrt%28+48+%29%29%2F2%5C1+=+-2.46410161513775\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B-2x%2B-11\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-2x%2B-11+=+%28x-4.46410161513775%29%2A%28x--2.46410161513775%29\"
\n" ); document.write( " Again, the answer is: 4.46410161513775, -2.46410161513775.\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-2%2Ax%2B-11+%29\"

\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B4x=5\"=\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"4x%5E2%2B4x%2B-5+=+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=%284%29%5E2-4%2A4%2A-5=96\".
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\n" ); document.write( " Discriminant d=96 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-4%2B-sqrt%28+96+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%284%29%2Bsqrt%28+96+%29%29%2F2%5C4+=+0.724744871391589\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%284%29-sqrt%28+96+%29%29%2F2%5C4+=+-1.72474487139159\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"4x%5E2%2B4x%2B-5\" can be factored:
\n" ); document.write( " \"4x%5E2%2B4x%2B-5+=+%28x-0.724744871391589%29%2A%28x--1.72474487139159%29\"
\n" ); document.write( " Again, the answer is: 0.724744871391589, -1.72474487139159.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B4%2Ax%2B-5+%29\"
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