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Question
Solve :
x4 - 2x2 - 3 = 0
Solution
x4 - 2x2 - 3 = 0
⇒ x4 - 3x2 + x2 - 3 = 0
⇒ x2 (x2 - 3) +1(x2 - 3) = 0
⇒ (x2 - 3) (x2 + 1) = 0
If x2 -3 = 0 or x2 + 1 = 0
⇒ x2 = 3 or x2 + 1 = 0
⇒ x = ±`sqrt3`
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