Question

If x = 1 is a root of the equation `sqrtx + kx − 2` = 0; the value of k is ______.

Options

• 1

• −1

• 2

• −2

Answer 1

If x = 1 is a root of the equation `sqrtx + kx − 2` = 0; the value of k is 1.

Explanation:

Given,

x = 1 is a root of the equation `sqrtx + kx − 2` = 0

⇒ `sqrt1 + k(1) − 2` = 0

⇒ 1 + k − 2 = 0

⇒ k − 1 = 0

⇒ k = 1