Question

☆SEEKING CONTENT QUALITY ANSWERS
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the final answer is k=2,4
answer it honestly
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Answer 1

Since x=1 and y=6 are the solution of the equation
Putting the values of x and y will be equal to zero
$8(1) - k(6) + {k}^{2} = 0 \\ {k}^{2} - 6k + 8 = 0 \\ {k}^{2} - 4k - 2k + 8 = 0 \\ k(k - 4) - 2(k - 4) = 0 \\ (k - 2)(k - 4) = 0$
So the value of k =2 and 4
HOPE IT HELPS