document.write( "Question 331192: solve. w^2-5w-50=0 \n" ); document.write( "
Algebra.Com's Answer #237407 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
You can factor this or use the quadratic equation
\n" ); document.write( "\"w%5E2-5w+-+50+=+0\"
\n" ); document.write( "\"%28w-10%29%28w%2B5%29+=+0\"
\n" ); document.write( "w = 10 or w=-5\r
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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%2B-5x%2B-50+=+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=%28-5%29%5E2-4%2A1%2A-50=225\".
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\n" ); document.write( " Discriminant d=225 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--5%2B-sqrt%28+225+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-5%29%2Bsqrt%28+225+%29%29%2F2%5C1+=+10\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-5%29-sqrt%28+225+%29%29%2F2%5C1+=+-5\"
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\n" ); document.write( " Quadratic expression \"1x%5E2%2B-5x%2B-50\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-5x%2B-50+=+1%28x-10%29%2A%28x--5%29\"
\n" ); document.write( " Again, the answer is: 10, -5.\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%2B-5%2Ax%2B-50+%29\"
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