1.

(2m +1) x² + 2 (m + 3) x (m+5)=0​

Answer»

Step-by-step explanation:

The given EQUATION is X

2

+2(m−1)x+(m+5)=0

For the equation to have real and EQUAL roots, the discriminant should be 0.

∴[2(m−1)]

2

−4(m+5)=0

⇒4(m

2

−2m+1)=4(m+5)

⇒m

2

−3m−4=0

⇒(m−4)(m+1)=0

∴m=4 or m=−1


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