Question

If one root of the quadratic equation x^2-11x+k=0 is 9. Find the value 9f know.

Answer 1

x^2-11x+k=0
9^2-11×9+k=0
81-99+k=0
-18+k=0
k=18.
For other roots......
x^2-11x+18=0
x^2-9x-2x+18=0
x (x-9)-2 (x-9)=0
(x-9)(x-2)=0
x-2=0
x=2
x-9=0
x=9
The roots are 9and 2.
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