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If X = 3 is One Root of the Quadratic Equation X2 – 2kx – 6 = 0, Then Find the Value of K. - Mathematics

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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.

Solution

If x = 3 is a root of the quadratic equation x2 − 2kx ​− 6 = 0, then it will satisfy the given equation.

`=> 3^2 - 2k(3) - 6 = 0`

`=> k = 1/2`

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