Question

if 1 / 2 is root of equation X^2 + kx - 5 / 4 = 0 then find k

Answer 1

refer the attachment

Answer 2

Hi...☺

Here is your answer...✌
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Let p(x) = x² + kx - 5/4

Given : 1/2 is the root of p(x)

=> p(1/2) = 0

(1/2)² + k(1/2) - 5/4 = 0

1/4 + k/2 - 5/4 = 0

k/2 - 4/4 = 0

k/2 -1 = 0

k/2 = 1

k = 2