document.write( "Question 122432: 2x(SQUARED)=X+30 \n" ); document.write( "

Algebra.Com's Answer #89878 by edjones(8007) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x^2=x+30
\n" ); document.write( "2x^2-x-30=0
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"2x%5E2%2B-1x%2B-30+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-1%29%5E2-4%2A2%2A-30=241\"$ .
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\n" ); document.write( " Discriminant d=241 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--1%2B-sqrt%28+241+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+241+%29%29%2F2%5C2+=+4.13104367406501\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-1%29-sqrt%28+241+%29%29%2F2%5C2+=+-3.63104367406501\"$
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\n" ); document.write( " Quadratic expression $\"2x%5E2%2B-1x%2B-30\"$ can be factored:
\n" ); document.write( " $\"2x%5E2%2B-1x%2B-30+=+%28x-4.13104367406501%29%2A%28x--3.63104367406501%29\"$
\n" ); document.write( " Again, the answer is: 4.13104367406501, -3.63104367406501.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-1%2Ax%2B-30+%29\"$

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