Question

If a < 0 the positive root of the equation

x² – 2a|x – a| – 3a² = 0 is :

• A. a(– 1 – $\sqrt{6}$)
• B. a(– 1 + $\sqrt{6}$)
• C. a(1 – $\sqrt{2}$)
• D. None of these

Answer 1

Answer: (C)

a(1 – $\sqrt{2}$)

Answer 2

For positive root

x > a

x² –2ax – a² = 0

(x – a²) = ($\sqrt{2}$a)²

x = a + $\sqrt{2}$a, x = a – $\sqrt{2}$a