Question

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(ii) Solve the quadratic equation 3x^4 - 13x^2 + 10 =0.​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Sol. 3x4 – 13x2 + 10 = 0

∴  3 (x2)2 – 13x2 + 10 = 0 

                                    [ ∵ (am)n = am× n]

Substituting x2 = m we get,

3m2 – 13m + 10 = 0

∴  3m2 – 3m – 10m + 10 = 0

∴ 3m (m – 1) – 10 (m – 1) = 0

∴ (m – 1) (3m – 10) = 0

∴ m – 1 = 0 or 3m – 10 = 0

∴ m = 1 or 3m = 10

∴ m = 1 or m = 10/3

Resubstituting m = x2  we get,

x2 = 1 or x2 = 10/3

∴ x = ±√1  or x = ±√(10/3)

∴ x = ±1 or x = ±√(10/3)