The roots of the quadratic equation $\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0$ are

The correct answer is $-\dfrac{5}{sqrt{2}}, -\sqrt{2}$

$\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0$

⇒ $\sqrt{2}x^2 + 2x + 5x + 5\sqrt{2} = 0$

⇒ $\sqrt{2}x(x + \sqrt{2}) + 5(x + \sqrt{2}) = 0$

⇒ $ (x + \sqrt{2})(\sqrt{2}x + 5) = 0$

⇒ $x = -\dfrac{5}{\sqrt{2}}, -\sqrt{2}$