if x^2+1/x^2=98 then find the value of x^3+1/x^3
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x² + 1/x² = 98
x² + 1/x² + 2 = 100
(x + 1/x)² = 10²
x + 1/x = 10
(x + 1/x)³ = 10³
x³ + 1/x³ + 3×x×1/x×(x + 1/x) = 1000
x³ + 1/x³ + 3×10 = 1000
x³ + 1/x³ = 1000 – 30 = 970
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hope it helps!!
x² + 1/x² + 2 = 100
(x + 1/x)² = 10²
x + 1/x = 10
(x + 1/x)³ = 10³
x³ + 1/x³ + 3×x×1/x×(x + 1/x) = 1000
x³ + 1/x³ + 3×10 = 1000
x³ + 1/x³ = 1000 – 30 = 970
______
hope it helps!!
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