document.write( "Question 914357: Determine the break-even points of the profit function P(x)= -2x^2+7x+8, where x is the number of dirt bikes produced, in thousands. \n" ); document.write( "
Algebra.Com's Answer #555042 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
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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%2B7x%2B8+=+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=%287%29%5E2-4%2A-2%2A8=113\".
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\n" ); document.write( " Discriminant d=113 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-7%2B-sqrt%28+113+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%287%29%2Bsqrt%28+113+%29%29%2F2%5C-2+=+-0.907536453183662\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%287%29-sqrt%28+113+%29%29%2F2%5C-2+=+4.40753645318366\"
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\n" ); document.write( " Quadratic expression \"-2x%5E2%2B7x%2B8\" can be factored:
\n" ); document.write( " \"-2x%5E2%2B7x%2B8+=+-2%28x--0.907536453183662%29%2A%28x-4.40753645318366%29\"
\n" ); document.write( " Again, the answer is: -0.907536453183662, 4.40753645318366.\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%2B7%2Ax%2B8+%29\"
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