find the value of K in the following
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Answer:
According to question:-
[tex] {3x}^{2} - kx - 2 = 0[/tex]
[tex]at \: x = 2[/tex]
[tex]p(x) = {3x}^{2} - kx - 2 = 0[/tex]
[tex]p(2) = {3(2)}^{2} - k(2) - 2 = 0[/tex]
[tex] = > 12 - 2k - 2 = 0[/tex]
[tex] = > 10 - 2k = 0[/tex]
[tex] = > - 2k = - 10[/tex]
[tex] = > k = \frac{ - 10}{ - 2} [/tex]
[tex] = > k = 5[/tex]