If 1/2 is a root of the equation x² + kx - 5/4 = 0, then the value of k is
a. 2
b. - 2
c. 1/4
d. 1/2

Solution:

Given, the equation is x² + kx - 5/4 = 0

1/2 is the root of the equation.

We have to find the value of k.

Put x = 1/2,

(1/2)² + k(1/2) - 5/4 = 0

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

k/2 = 5/4 - 1/4

k/2 = (5 - 1)/4

k/2 = 4/4

k/2 = 1

k = 2(1)

k = 2

Therefore, the value of k is 2

✦ Try This: If 2 is a root of the equation x² + kx - 5 = 0, then the value of k is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4

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NCERT Exemplar Class 10 Maths Exercise 4.1 Problem 4

If 1/2 is a root of the equation x² + kx - 5/4 = 0, then the value of k is, a. 2, b. - 2, c. 1/4, d. 1/2

Summary:

If 1/2 is a root of the equation x² + kx - 5/4 = 0, then the value of k is 2

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