document.write( "Question 266474: Use the quadratic formula to solve the equation; 2x^2-x=-7 \n" ); document.write( "

Algebra.Com's Answer #195788 by JBarnum(2146) $\"\"$ $\"About$

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$\"2x%5E2-x=-7\"$
\n" ); document.write( " $\"2x%5E2-x%2B7=0\"$ A=2 B=-1 C=7
\n" ); document.write( "unfortunatly there are no real numbers that \"x\" can equal, there are however imaginary numbers.
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"2x%5E2%2B-1x%2B7+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-1%29%5E2-4%2A2%2A7=-55\"$ .
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\n" ); document.write( " The discriminant -55 is less than zero. That means that there are no solutions among real numbers.

\n" ); document.write( " If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

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\n" ); document.write( " In the field of imaginary numbers, the square root of -55 is + or - $\"sqrt%28+55%29+=+7.41619848709566\"$ .
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\n" ); document.write( " The solution is

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\n" ); document.write( " Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B-1%2Ax%2B7+%29\"$

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