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Question
Solve : x4 - 10x2 +9 =0
Solution
x4 - 10x2 +9 =0
⇒ x4 - 9x2 - x2 + 9 = 0
⇒ x2(x2 - 9) -1(x2 - 9) = 0
⇒ (x2 - 9)(x2 - 1) = 0
if x2 - 9 = 0 or x2 - 1 = 0
⇒ x2 = 9 or x2 = 1
⇒ x = ± 3 or x = ± 1
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