document.write( "Question 446744: for the following equation, state the value of the discriminant and then describve the nature of the solution -8x^2+5x+13=0 \n" ); document.write( "
Algebra.Com's Answer #307639 by chriswen(106)\"\" \"About 
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"-8x%5E2%2B5x%2B13+=+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=%285%29%5E2-4%2A-8%2A13=441\".
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\n" ); document.write( " Discriminant d=441 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-5%2B-sqrt%28+441+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%285%29%2Bsqrt%28+441+%29%29%2F2%5C-8+=+-1\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%285%29-sqrt%28+441+%29%29%2F2%5C-8+=+1.625\"
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\n" ); document.write( " Quadratic expression \"-8x%5E2%2B5x%2B13\" can be factored:
\n" ); document.write( " \"-8x%5E2%2B5x%2B13+=+-8%28x--1%29%2A%28x-1.625%29\"
\n" ); document.write( " Again, the answer is: -1, 1.625.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-8%2Ax%5E2%2B5%2Ax%2B13+%29\"
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