document.write( "Question 981397: Change to quadratic equation then find the solution set.\r
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\n" ); document.write( "\n" ); document.write( "\"+6+over+s%2B5+%2B+s-5+over+2x=x-1+\"
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Algebra.Com's Answer #602392 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Your equation is difficult to understand.
\n" ); document.write( "If the equation below is not correct, please clarify your question and re-post.
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\n" ); document.write( "\"%286%2F%28s%2B5%29%29%2B%28%28s-5%29%2F2x%29=x-1\" Multiply by (s+5)(2x)
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\n" ); document.write( "\"%28%286%29%282x%29%29%2B%28s-5%29%28s%2B5%29=x-1\"
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\n" ); document.write( "\"12x%2Bs%5E2-25=x-1\" Subtract (x-1) from each side.
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\n" ); document.write( "\"s%5E2%2B11x-24=0\"
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"as%5E2%2Bbs%2Bc=0\" (in our case \"1s%5E2%2B11s%2B-24+=+0\") has the following solutons:
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\n" ); document.write( " \"s%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=%2811%29%5E2-4%2A1%2A-24=217\".
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\n" ); document.write( " Discriminant d=217 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-11%2B-sqrt%28+217+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"s%5B1%5D+=+%28-%2811%29%2Bsqrt%28+217+%29%29%2F2%5C1+=+1.86545993132812\"
\n" ); document.write( " \"s%5B2%5D+=+%28-%2811%29-sqrt%28+217+%29%29%2F2%5C1+=+-12.8654599313281\"
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\n" ); document.write( " Quadratic expression \"1s%5E2%2B11s%2B-24\" can be factored:
\n" ); document.write( " \"1s%5E2%2B11s%2B-24+=+1%28s-1.86545993132812%29%2A%28s--12.8654599313281%29\"
\n" ); document.write( " Again, the answer is: 1.86545993132812, -12.8654599313281.\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%2B11%2Ax%2B-24+%29\"

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\n" ); document.write( "ANSWERS: s=1.865 OR s=-12.865
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