if k2 and y=k is a solution of the equation x-5y+6=0.Find the value of k?

If your question is:

If x = k2 and y = k is a solution of the equation x - 5y + 6 = 0 then find the value of k.

then the solution is given as

Given equation is:

x - 5y + 6 = 0 ... (1)

On putting the corresponding value of x and y in (1), we get

k2 - 5k + 6 = 0

k2 - 3k - 2k + 6 = 0

k(k - 3) -2(k - 3) = 0

(k - 2 ) (k - 3) = 0

k = 2 or 3

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