Question

Solve:

2x⁴ – 5x² + 3 = 0

Answer 1

2x⁴ – 5x² + 3 = 0

`=>` 2x⁴ – 3x² – 2x² + 3 = 0 

`=>` x²(2x² – 3) – 1(2x² – 3) = 0

`=>` (2x² – 3)(x² – 1) = 0

If 2x² – 3 = 0 or x² – 1 = 0

Then `x^2 = 3/2` or `x^2 = 1`

`=> x = +- sqrt(3/2)` or `x = +- 1`