Question

Find the sum of the roots of the equation |$x^2$| - 36|x|

• A. 36
• B. -36
• C. -1
• D. 0

Answer 1

The correct option is D

0

|$x^2$| = ${|x|}^2$

Given equation is ${|x|}^2$ - 36|x| = 0

Taking |x| common, |x|(|x| - 36) = 0

⇒ |x| = 0 or |x| = 36

⇒ x = 0 or x = ± 36

So the roots are 0, 36, -36

Sum of the roots = 0 + 36 -36

= 0