Question

Which of the following are the roots of the quadratic equation x² + 2√2x - 6 = 0 ? 

(1) −3√2, √2 

(2) 3√2, - 2√2 

(3) 3, 2 

(4) 3, 2√2

Answer 1

Correct option is (1) −3√2, √2 

x² + 2√x - 6 = 0

⇒ x² + 3√2x - √2x - 6 = 0

⇒ (x - √2) (x + 3√2) = 0

x = √2 , -3√2