X⁴+1÷x⁴-3 factorize
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x⁴ + 1/x⁴ -3 = 0
let x⁴ = a
=> a + 1/a -3 = 0
=> a²-3a +1 = 0
=> a = [3 ±√ (9- 4)]/2
=> a = (3±√5)/2
=> x⁴ = (3±√5)/2
=> x = ±√[ (3±√5)/2 ]
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Step-by-step explanation:
(x²-1/x²+1)(x²-1/x²-1)
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