Question

Find the value of k for which x = 1 is a root of the equation x² + kx + 3 = 0. Also, find the other root.

Answer 1

It is given that (x = 1) is a root of (x² + kx + 3 = 0).

Therefore, (x = 1) must satisfy the equation. 

⇒ (1)² + k × 1 + 3 = 0 

⇒ k + 4 = 0 

⇒ k = – 4 

Hence, the required value of k is – 4.