If one root of the quadratic equation x2 - 11x + k = 0 is 9, then find the value of k.

Solution:
The given quadratic equation is x2 – 11x + k = 0
Since  9 is the root of the given quadratic equation
∴ we can put x = 9,

∴ 92 – 11(9) + k = 0
∴ 81 – 99 + k = 0
∴ - 18 + k = 0
∴ k  = 18

∴ the value of k is 18

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