Question

Which of the following is the possible value of |x| if $|x{|}^2$ - 6|x| + 8 = 0

• A. 5
• B. 2
• C. 8
• D. 1

Answer 1

The correct option is B

2

This can be considered as a quadratic in |x|, $|x{|}^2$ - 6|x| + 8 = 0

$\Rightarrow$ (|x| - 4)(|x| - 2) = 0

|x| = 4 or |x| = 2