document.write( "Question 869019: for what value of m does the following equation has equal roots(2m+1)x^2 + 2(m+3)x + (m+5)=0 \n" ); document.write( "

Algebra.Com's Answer #523987 by josgarithmetic(39617) $\"\"$ $\"About$

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That is a quadratic equation, best handled with general solution of a quadratic equation which hypothetically contains an expression, $\"sqrt%28%282%28m%2B3%29%29%5E2-4%282m%2B1%29%28m%2B5%29%29\"$ . \r
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\n" ); document.write( "\n" ); document.write( "The requirement of the roots being equal means that the discriminant, $\"%282%28m%2B3%29%29%5E2-4%282m%2B1%29%28m%2B5%29=0\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"4%28m%5E2%2B6m%2B9%29-4%282m%5E2%2B11m%2B5%29=0\"$
\n" ); document.write( " $\"m%5E2%2B6m%2B9-2m%5E2-11m-5=0\"$
\n" ); document.write( " $\"-m%5E2-5m%2B4=0\"$
\n" ); document.write( " $\"m%5E2%2B5m-4=0\"$
\n" ); document.write( " $\"%28m-1%29%28m%2B4%29=0\"$
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\n" ); document.write( " $\"highlight%28m=1%29\"$ OR $\"highlight%28m=-4%29\"$ \r
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\n" ); document.write( " $\"ax%5E2%2Bbx%2Bc=0\"$ ,
\n" ); document.write( "discriminant is $\"b%5E2-4ac\"$ . \n" ); document.write( "

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