1.

Ifx = 3 is one root of the quadratic equation x^{2}-2 k x-6=0, then find the value of k.

Answer»

Given it's one root of the equation x² - 2kx - 6 = 0

one of its root x = 3 for finding the value of k. Put the value of x in this equation.

(3)² - 2k(3) - 6 = 0

9 - 6k - 6 = 0

6k = 3

k = 3/6

k = 1/2

Hence, the value of k = 1/2



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