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3 years ago

Please find the answer

Mathematics

1 answer:

Serggg [28]3 years ago

8 0

Answer:

x^3 + 1/x^3 = 488

Step-by-step explanation:

x^2 + 1/x^2 = 62
x^2 + 1/x^2 + 2 = 64
( adding 2 in both sides )
(x + 1/x ) ^2 = 64
x + 1/x = 8

now,

( x+ 1/x ) ^ 3 = 512
x^3 + 1/x^3 + 3 × x × 1/x ( x + 1/x )
x^3 + 1/x^3 + 3 ( 8 )
( since x + 1/x = 8 )
x^3 + 1/x^3 + 24 = 512
x^3 + 1/x^3 = 488

hence, we got x^3 + 1/x^3 = 488

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