document.write( "Question 35386: factor the algebraic expressions completely\r
\n" ); document.write( "\n" ); document.write( "6x^2 - 28x + 16 \n" ); document.write( "

Algebra.Com's Answer #21482 by lyra(94) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"6x%5E2%2B-28x%2B16+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-28%29%5E2-4%2A6%2A16=400\"$ .
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\n" ); document.write( " Discriminant d=400 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--28%2B-sqrt%28+400+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-28%29%2Bsqrt%28+400+%29%29%2F2%5C6+=+4\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-28%29-sqrt%28+400+%29%29%2F2%5C6+=+0.666666666666667\"$
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\n" ); document.write( " Quadratic expression $\"6x%5E2%2B-28x%2B16\"$ can be factored:
\n" ); document.write( " $\"6x%5E2%2B-28x%2B16+=+6%28x-4%29%2A%28x-0.666666666666667%29\"$
\n" ); document.write( " Again, the answer is: 4, 0.666666666666667.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+6%2Ax%5E2%2B-28%2Ax%2B16+%29\"$

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\n" ); document.write( "\n" ); document.write( "Hope this helps,
\n" ); document.write( "lyra \n" ); document.write( "

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