Question

if the root of (k+1)x²-2(k-2)x+1=0 are real and equal find the value k
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Answer 1

Answer:

ANSWER

Given equation is (k+1)x

2

−2(k−1)x+1=0

This equation has real and equal roots

⟹Discriminant =0

⟹[−2(k−1)]

2

−4(k+1)(1)=0

⟹(k−1)

2

=(k+1)

⟹k

2

−2k+1=k+1

⟹k

2

=3k

⟹k=0 or 3