SOLUTION: for what value of m does the following equation has equal roots(2m+1)x^2 + 2(m+3)x + (m+5)=0

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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
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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.

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.

4%28m%5E2%2B6m%2B9%29-4%282m%5E2%2B11m%2B5%29=0
m%5E2%2B6m%2B9-2m%5E2-11m-5=0
-m%5E2-5m%2B4=0
m%5E2%2B5m-4=0
%28m-1%29%28m%2B4%29=0
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highlight%28m=1%29 OR highlight%28m=-4%29



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ax%5E2%2Bbx%2Bc=0,
discriminant is b%5E2-4ac.