document.write( "Question 205536This question is from textbook
\n" ); document.write( ": steps to factor 12a^2 + 84ab + 147b^2 \n" ); document.write( "

Algebra.Com's Answer #155166 by Targetweek(62) $\"\"$ $\"About$

You can put this solution on YOUR website!
if the equation is
\n" ); document.write( " $\"12a%5E2+%2B+84ab+%2B+147b%5E2\"$ \r
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"12x%5E2%2B84x%2B147+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%2884%29%5E2-4%2A12%2A147=0\"$ .
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\n" ); document.write( " Discriminant d=0 is zero! That means that there is only one solution: $\"x+=+%28-%2884%29%29%2F2%5C12\"$ .
\n" ); document.write( " Expression can be factored: $\"12x%5E2%2B84x%2B147+=+12%28x--3.5%29%2A%28x--3.5%29\"$
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\n" ); document.write( " Again, the answer is: -3.5, -3.5.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+12%2Ax%5E2%2B84%2Ax%2B147+%29\"$

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