document.write( "Question 457233: How do you change a problem such as, x^2-51=-2x, into a quadratic equation using the quadratic formula? \n" ); document.write( "
Algebra.Com's Answer #313731 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
It is a quadratic equation now.
\n" ); document.write( "Do you want to solve it using the quadratic formula?
\n" ); document.write( "x^2+2x-51
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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%2B2x%2B-51+=+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=%282%29%5E2-4%2A1%2A-51=208\".
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\n" ); document.write( " Discriminant d=208 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+208+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+208+%29%29%2F2%5C1+=+6.21110255092798\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%282%29-sqrt%28+208+%29%29%2F2%5C1+=+-8.21110255092798\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B2x%2B-51\" can be factored:
\n" ); document.write( " \"1x%5E2%2B2x%2B-51+=+1%28x-6.21110255092798%29%2A%28x--8.21110255092798%29\"
\n" ); document.write( " Again, the answer is: 6.21110255092798, -8.21110255092798.\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%2B2%2Ax%2B-51+%29\"
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