document.write( "Question 100440: Could someone please help me with this equation? I cant seem to solve it.
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\n" ); document.write( "\"25x%5E2=13\"
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Algebra.Com's Answer #73121 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
\"25x%5E2=13\"
\n" ); document.write( "25x^2-13=0
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"25x%5E2%2B0x%2B-13+=+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=%280%29%5E2-4%2A25%2A-13=1300\".
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\n" ); document.write( " Discriminant d=1300 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-0%2B-sqrt%28+1300+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%280%29%2Bsqrt%28+1300+%29%29%2F2%5C25+=+0.721110255092798\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%280%29-sqrt%28+1300+%29%29%2F2%5C25+=+-0.721110255092798\"
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\n" ); document.write( " Quadratic expression \"25x%5E2%2B0x%2B-13\" can be factored:
\n" ); document.write( " \"25x%5E2%2B0x%2B-13+=+%28x-0.721110255092798%29%2A%28x--0.721110255092798%29\"
\n" ); document.write( " Again, the answer is: 0.721110255092798, -0.721110255092798.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+25%2Ax%5E2%2B0%2Ax%2B-13+%29\"
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