If one root of the quadratic equation x²-11x+k=0 is 9, then find the value of k.
1.10
2.18
3.-18
4 -10
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Given quadratic equation is x^2−11x+k=0
One root is 9
Putting x=9 in the given equation,
x^2−11x+k=0
⇒(9)^2−11(9)+k=0
⇒81−99+k=0
⇒−18+k=0
∴k=18
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