The roots of the equation |x|2 + |x| – 6 = 0 are – | MATH - SOLUTION OF QUADRATIC EQUATIONS AND NATURE OF ROOTS | SolveeIt | Solveeit

Today, August 19

Question

The roots of the equation |x|² + |x| – 6 = 0 are –

A

Only one real no.

B

Real & sum = 1

C

Real & sum = 0

D

Real & product = 0

Answer

Real & sum = 0

Explanation

Solution

(|x| – 2) (|x| + 3) = 0

i.e. |x| = 2, – 3

|x| = 2, |x| ¹ – 3 (not possible)

Ž x = ± 2

i.e. sum = 0