Question

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

Answer 1

x² - 11x  + k = 0

Given that

One root of given equation is 9

∴ `(9)^2 - 11(9) + k = 0`

∴ 81 - 99 +  k =  0

∴ k = 18