Question

x - 2(5+m)x + 3(7+m) = 0
Find the value of m​

Answer 1

for equal roots D=b  

2

−4ac=0

⇒[2(m+1)]  

2

−4m(3m+1)=0

⇒m  

2

+2m+1−3m  

2

−m=0

⇒−2m  

2

+m+1=0

⇒2m  

2

−m−1=0⇒(m−1)(m+  

2

1

​  

)=0

⇒  

m=1,  

2

−1

​  

 

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