document.write( "Question 173804This question is from textbook Introductory Algebra
\n" ); document.write( ": Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 8 = -1 \n" ); document.write( "

Algebra.Com's Answer #128667 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2x%5E2+%2B+8+=+-1\"$
\n" ); document.write( " $\"2x%5E2+%2B+9+=+0\"$
\n" ); document.write( "no easy factoring there
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"2x%5E2%2B0x%2B9+=+0\"$ ) 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 $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%280%29%5E2-4%2A2%2A9=-72\"$ .
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\n" ); document.write( " The discriminant -72 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 -72 is + or - $\"sqrt%28+72%29+=+8.48528137423857\"$ .
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\n" ); document.write( " The solution is

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\n" ); document.write( " Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B0%2Ax%2B9+%29\"$

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