If x=3 is one root of the quadratic of x x -2k -6=0 then find the valu

1.	If x=3 is one root of the quadratic of x x -2k -6=0 then find the value of k
Answer» Given quadratic equation is x2 - 2kx - 6 = 0If x = 3 is one root of the equation,then (3)2 - 2k(3) - 6 = 0{tex}\\therefore{/tex}\xa09 - 6k - 6 = 0{tex}\\Rightarrow{/tex}-6k = -3{tex}\\Rightarrow{/tex}\xa0k =\xa0{tex}\\frac{1}{2}{/tex}

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