Answer :
For a quadratic equation, ax2 + bx + c = 0,
D = b2 – 4ac
If D = 0, roots are real and equal
⇒ kx2 – 2√5kx + 10 = 0
⇒ D = 4 × 5k2 – 4 × k × 10 = 0
⇒ k2 = 2k
⇒ k = 2
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