if x is equal to 3 is one root of the quadratic equation X square - 2 x minus 6 is equal to zero then find the value of k
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Step-by-step explanation:
Given that x = 3 is one root of the quadratic equation x² - 2kx - 6 = 0
Substituting x = 3 in the above equation.
⇒ (3)² - (2*k*3) - 6 = 0
⇒ 9 - 6k - 6 = 0
⇒ - 6k = 6 - 9
⇒ - 6k = - 3
⇒ 6k = 3
⇒ k = 3/6
⇒ k = 1/2
So, the value of k is 1/2
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