Question

If x^3+1/x^3=110, find the value of x+1/x.​

Answer 1

Answer:

X³ + 1/x³ = 110

(x + 1/x)³ - 3(x + 1/x) = 110

x + 1/x = k let

k³ - 3k - 110 = 0

k(k² - 3) = 110

k(k² - 3) = 5(5² - 3)

so k = 5 ANSWER

Answer 2

Answer:

x ^3 + 1/x^3 =110

3×√(x^3+1/x^3) = 3×√110

x+ 1/ x = 31.465