Q. 5 E5.0( 5 Votes )

# Solve the following equations using the general formula:

3x^{2} + 5√2x + 2 = 0

Answer :

Comparing equation 3x^{2} + 5√2x + 2 = 0 with ax^{2} + bx + c = 0 we get

a = 3, b = 5√2 and c = 2

Discriminant (D) = b^{2} – 4ac

⇒ D = (5√2)^{2} – 4(3)(2)

⇒ D = (5^{2})(√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

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