document.write( "Question 912461: 14xsquared=29x-12
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Algebra.Com's Answer #553808 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!
14x^2 - 29x + 12 = 0
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"14x%5E2%2B-29x%2B12+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-29%29%5E2-4%2A14%2A12=169\"$ .
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\n" ); document.write( " Discriminant d=169 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--29%2B-sqrt%28+169+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-29%29%2Bsqrt%28+169+%29%29%2F2%5C14+=+1.5\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-29%29-sqrt%28+169+%29%29%2F2%5C14+=+0.571428571428571\"$
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\n" ); document.write( " Quadratic expression $\"14x%5E2%2B-29x%2B12\"$ can be factored:
\n" ); document.write( " $\"14x%5E2%2B-29x%2B12+=+14%28x-1.5%29%2A%28x-0.571428571428571%29\"$
\n" ); document.write( " Again, the answer is: 1.5, 0.571428571428571.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+14%2Ax%5E2%2B-29%2Ax%2B12+%29\"$

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