Higher level maths

2014-03-12 6:47 am
Simplify √[√(x^4+x^2+1)+x^2+1]

回答 (1)

2014-03-12 7:43 am
✔ 最佳答案
√[√(x^4 + x^2 + 1) + x^2 + 1]= √[2√(x^4 + x^2 + 1) + 2x^2 + 2] / √2= √[(x^2 + x + 1) + 2√(x^4 + x^2 + 1) + (x^2 - x + 1)] / √2= √[√(x^2 + x + 1) + √(x^2 - x + 1)]^2 / √2= [√(x^2 + x + 1) + √(x^2 - x + 1)] / √2


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