Question

The number of real solutions of the equation |x|² – 3|x| + 2 = 0 is:

• A. 4
• B. 1
• C. 3
• D. 2

Answer 1

The correct option is A 4

The expression can be rewritten as

(|x| - 1)(|x| - 2) = 0. x = {-1, +1, -2, +2}

Or, we can say, If x is greater than 0.

x² – 3x + 2 = 0

(x - 2) (x - 1) = 0

x = {1, 2}

If x is less than 0.

x² + 3x + 2 = 0

(x + 2) (x + 1) = 0

x = { - 1, - 2}

Option (a)