Solve the following equations using the general formula:

3x² + 5√2x + 2 = 0

Comparing equation 3x² + 5√2x + 2 = 0 with ax² + bx + c = 0 we get

a = 3, b = 5√2 and c = 2

Discriminant (D) = b² – 4ac

⇒ D = (5√2)² – 4(3)(2)

⇒ D = (5²)(√2)² – 4 × 6

⇒ D = 25 × 2 – 24

⇒ D = 50 – 24

⇒ D = 26

D > 0 implies roots are real and distinct and given by

Therefore and