Question

if x=9 is one root of quadratic equation x2-11x+k=0 find value of k​

Answer 1

Answer:

$given \: x = 9 \\ so \: \: {x}^{2} - 11x + k = 0 \\ = (9) {}^{2} - 11(9) + k = 0 \\ = 81 - 99 + k = 0 \\ = - 18 + k = 0 \\ = k = 18 \: \: ans$

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Answer 2

Answer:

Step-by-step explanation:

let the other root be y

therefore two roots will be 9 and y

as the roots sum should be equal to - b/a

therefore 9 + y= -(-11)/1

therefore y = 2

and also the product of roots is equal to c/a

therefore (9)(2) = k/1

therefore k = 18