Question

If the sum of the roots of the equation kx² + 2x + 3k = 0 is equal to their product then the value of k is ______.

Options

• `1/3`

• `(-1)/3`

• `2/3`

• `(-2)/3`

Answer 1

If the sum of the roots of the equation kx² + 2x + 3k = 0 is equal to their product then the value of k is `underlinebb((-2)/3)`.

Explanation:

Given:

kx² + 2x + 3k = 0

Sum of the roots = Product of the roots 

⇒ `(-2)/k = (3k)/k` 

⇒ 3k = –2 

⇒ `k = (-2)/3`