1.

Find the value of a for which (a-12)x^2+2(a-12)x+2=0 has equal roots​

Answer»

ANSWER:

(α−12)X

2

+2(α−12)x+2=0

Here, a=(α−12),b=2(α−12),c=2

For the equation having equal ROOTS,

D=0

b

2

−4ac=0

⇒(2(α−12))

2

−4(α−12)2=0

⇒4(α−12)(α−12−2)=0

⇒(α−12)(α−14)=0

⇒α=12,14



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