Question

please solve this problem​

Answer 1

Answer:

x+1/x≈2.163

Step-by-step explanation:

x³+1/x³ = (x+1/x)(x²+1/x²-1)          [∵(a³+b³)=(a+b)(a²+b²-ab)]

∴     10 =(x+1/x)(x²+1/x²+2-3)

∴     10=(x+1/x)[(x+1/x)²-3]

∴     10=(x+1/x)³-3(x+1/x)

By solving cubic we get

x+1/x≈2.163