Question

if 1/2 is a root of the equation x2+kx-(5/4)=0 then the value of k is ​

Answer 1

Answer:

$( \frac{1}{2} )^{2} + k( \frac{1}{2} ) - \frac{5}{4} = 0$

$\frac{1}{4} + \frac{k}{2} - \frac{5}{4} = 0$

$\frac{k}{2} - \frac{4}{4} = 0$

$\frac{k}{2} = 1$

$k = 2$

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Answer 2

The value of K =2

Given, 1/2 is a solution of the equation

The given equation is x² + kx -5/4 = 0

than the solution -:

(1/2)² + k/2 - 5/4 = 0

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

1 + 2k - 5 = 0

2k = 4

k = 2

Hope you are satisfied