Find that value o

When we compare the above quadratic equation with the generalized one we get,

ax² + bx + c = 0

a = k + 1

b = -2(k – 1)

c = 1

Since the quadratic equations have real and equal roots,

b² – 4ac = 0 for real and equal roots

⟹ (-2(k – 1)) ² – (4 × (k + 1) × 1) = 0

⟹ 4(k² - 2k + 1) – 4k - 4 = 0

⟹ 4k² - 8k + 4 – 4k - 4 = 0

⟹ 4k² - 12k = 0

⟹ 4k (k – 3) = 0

⟹ (k – 3) = 0 or 4k = 0

⟹ k = 3 or k = 0