Question

Sum of the real roots of the equation $x^2$ + 5 |x| + 6 = 0

• A. Equals to 5
• B. Equals to 10
• C. Equals to - 5
• D. None of these

Answer 1

The correct option is D None of these

The following cases will arise
Case 1: x > 0
$x^2$ + 5x + 6 = 0
On solving we get x = -2, -3 which is not possible as x > 0.
Case 2: x < 0
$x^2$ - 5x + 6 = 0
On solving we get x = 2, 3 which is not possible as x< 0.
So no real root is possible. Option (d) is correct.