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Question

If x = 3 is one root of the quadratic equation x2 – 2kx – 6 = 0, then find the value of k.

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Solution

If x = 3 is a root of the quadratic equation x2 − 2kx ​− 6 = 0, then it will satisfy the given equation.
Put x = 3 in given quadratic equation
⇒ 32 − 2k(3) − 6 = 0
⇒ k = 12

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