Question
Given that x8-34x4+1=0, x>0.
What is the value of (x3+ x-3)?Solution
Divide given equation by x4 = x4 + 1/x4 = 34 = add 2 both side x2 + 1/x2 = 6 = add both the side again = x + 1/x = √8 = x3 + 1/x3 = 8√8 – 3 × √8 = 5√8
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