document.write( "Question 1042032: Could you help by Solving this equation by using the Quadratic Formula:?
\n" ); document.write( " $\"+%281%2F4%29+x%5E2+%2B+%281%2F4%29+x+-1%2F2+=0+\"$ \r
\n" ); document.write( "\n" ); document.write( "IS the answer x=1 x=-2
\n" ); document.write( "?\r
\n" ); document.write( "\n" ); document.write( "Thank you\r
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Algebra.Com's Answer #656927 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%281%2F4%29+x%5E2+%2B+%281%2F4%29+x+-1%2F2+=0+\"$
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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 $\"0.25x%5E2%2B0.25x%2B-0.5+=+0\"$ ) 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.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%280.25%29%5E2-4%2A0.25%2A-0.5=0.5625\"$ .
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\n" ); document.write( " Discriminant d=0.5625 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-0.25%2B-sqrt%28+0.5625+%29%29%2F2%5Ca\"$ .
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\n" ); document.write( " $\"x%5B1%5D+=+%28-%280.25%29%2Bsqrt%28+0.5625+%29%29%2F2%5C0.25+=+1\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%280.25%29-sqrt%28+0.5625+%29%29%2F2%5C0.25+=+-2\"$
\n" ); document.write( "
\n" ); document.write( " Quadratic expression $\"0.25x%5E2%2B0.25x%2B-0.5\"$ can be factored:
\n" ); document.write( " $\"0.25x%5E2%2B0.25x%2B-0.5+=+%28x-1%29%2A%28x--2%29\"$
\n" ); document.write( " Again, the answer is: 1, -2.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+0.25%2Ax%5E2%2B0.25%2Ax%2B-0.5+%29\"$

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\n" ); document.write( " $\"x%5E2+%2B+x+-+2+=0+\"$
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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 $\"1x%5E2%2B1x%2B-2+=+0\"$ ) has the following solutons:
\n" ); document.write( "
\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%281%29%5E2-4%2A1%2A-2=9\"$ .
\n" ); document.write( "
\n" ); document.write( " Discriminant d=9 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28-1%2B-sqrt%28+9+%29%29%2F2%5Ca\"$ .
\n" ); document.write( "
\n" ); document.write( " $\"x%5B1%5D+=+%28-%281%29%2Bsqrt%28+9+%29%29%2F2%5C1+=+1\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%281%29-sqrt%28+9+%29%29%2F2%5C1+=+-2\"$
\n" ); document.write( "
\n" ); document.write( " Quadratic expression $\"1x%5E2%2B1x%2B-2\"$ can be factored:
\n" ); document.write( " $\"1x%5E2%2B1x%2B-2+=+%28x-1%29%2A%28x--2%29\"$
\n" ); document.write( " Again, the answer is: 1, -2.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B-2+%29\"$

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