document.write( "Question 323605: x^2 + 3/5x - 1/12 = 0 \n" ); document.write( "

Algebra.Com's Answer #231541 by JBarnum(2146) $\"\"$ $\"About$

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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"1x%5E2%2B0.6x%2B-0.0833333333333333+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%280.6%29%5E2-4%2A1%2A-0.0833333333333333=0.693333333333333\"$ .
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\n" ); document.write( " Discriminant d=0.693333333333333 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-0.6%2B-sqrt%28+0.693333333333333+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%280.6%29%2Bsqrt%28+0.693333333333333+%29%29%2F2%5C1+=+0.116333199893226\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%280.6%29-sqrt%28+0.693333333333333+%29%29%2F2%5C1+=+-0.716333199893227\"$
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\n" ); document.write( " Quadratic expression $\"1x%5E2%2B0.6x%2B-0.0833333333333333\"$ can be factored:
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\n" ); document.write( " Again, the answer is: 0.116333199893226, -0.716333199893227.\n" ); document.write( "Here's your graph:
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