(x+1/x)^2=3 find x^3+1/x^3
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(x + 1/x)² = 3
= x² + 2x + 1/x² = 3
= x² + 2x + 1 => 3x²
= x² - 3x² + 2x + 1 = 0
= - 2x² + 2x + 1 = 0
= 2x² - 2x + 1 = o
= 2x² - 1x - 1x + 1 = 0
= 2x (x - 1) - 1 (x - 1)
= (x - 1), (2x - 1)
x = 1, x = 1/2
so ,
x³ + 1 / x³ = 2/1 = 2 ans
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