document.write( "Question 264395: I am trying to solve for x (to find the x intercept) in the equation
\n" ); document.write( "y=(-1/2)x^2+2x+10. I got the y intercept (10) by \"letting x=0\", but when I try to do the same, \"letting y=0\", I get confused due to the fraction and exponent and do not know how to isolate the x. Can someone please explain this to me. Thank you!
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Algebra.Com's Answer #194650 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "You need to use the quadratic formula to solve for x\r
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"-0.5x%5E2%2B2x%2B10+=+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%2A-0.5%2A10=24\".
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\n" ); document.write( " Discriminant d=24 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+24+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+24+%29%29%2F2%5C-0.5+=+-2.89897948556636\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%282%29-sqrt%28+24+%29%29%2F2%5C-0.5+=+6.89897948556636\"
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\n" ); document.write( " Quadratic expression \"-0.5x%5E2%2B2x%2B10\" can be factored:
\n" ); document.write( " \"-0.5x%5E2%2B2x%2B10+=+-0.5%28x--2.89897948556636%29%2A%28x-6.89897948556636%29\"
\n" ); document.write( " Again, the answer is: -2.89897948556636, 6.89897948556636.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-0.5%2Ax%5E2%2B2%2Ax%2B10+%29\"
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