Find that value o

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

ax² + bx + c = 0

a = k

b = -5

c = k

Since the quadratic equations have real and equal roots,

b² – 4ac = 0 for real and equal roots

⟹ (-5) ² – (4 × k × k) = 0

⟹ 25 - 4k² = 0

⟹ 4k² = 25

⟹ k² = 25/4

⟹ k= ± 5/2