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If one root of x 2 - 6kx + 5 = 0 is 5, find the value of k.

Correct Answer: 1

Explanation:

Given, one root of x2 - 6kx + 5 = 0 is 5.
∴ x = 5 satisfies x2 - 6kx + 5 = 0
⇒ 52 - 30k + 5 = 0
⇒ 25 - 30k + 5 = 0
⇒ 30 - 30k = 0
⇒ 30k = 30
∴ k = 1


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