Question

Sum of roots of the equation (x + 3)² – 4 |x + 3| + 3 = 0 is ______.

Options

• 4

• 12

• –12

• –4

Answer 1

Sum of roots of the equation (x + 3)² – 4 |x + 3| + 3 = 0 is –12.

Explanation:

Let |x + 3| = t

⇒ t² – 4t + 3 = 0

⇒ t = 1, 3

⇒ |x + 3| = 1, |x + 3| = 3

⇒ (x + 3) = ±1 and x + 3 = ±3

⇒ x = –2, –4 and x = 0, –6

Sum = –2 – 4 – 6 = –12