document.write( "Question 431617: find the roots of quadratic equations by factoring, x^2-6x+8 \n" ); document.write( "
Algebra.Com's Answer #299472 by jorel1380(3719)\"\" \"About 
You can put this solution on YOUR website!
If x2-6x+8=0, then\r
\n" ); document.write( "\n" ); document.write( "x2-6x+8=0
\n" ); document.write( "(x-4)(x-2)=0\r
\n" ); document.write( "\n" ); document.write( "The roots of your function are 4 and 2.
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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-6x%2B8+=+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=%28-6%29%5E2-4%2A1%2A8=4\".
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\n" ); document.write( " Discriminant d=4 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--6%2B-sqrt%28+4+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-6%29%2Bsqrt%28+4+%29%29%2F2%5C1+=+4\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-6%29-sqrt%28+4+%29%29%2F2%5C1+=+2\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-6x%2B8\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-6x%2B8+=+1%28x-4%29%2A%28x-2%29\"
\n" ); document.write( " Again, the answer is: 4, 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+1%2Ax%5E2%2B-6%2Ax%2B8+%29\"
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