Question

x^2+1/x^2=7.Find x^3+1/x^3=1​

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x^2 + 1/x^2 = 7

Adding 2 on both sides

x^2 + 1/x^2 + 2 = 9

x^2 + 1/x^2 + 2*x*1/x = 9

(x + 1/x)^2 = 9

x + 1/x = 3 or x + 1/x = -3

Cubbing both sides on positive

x^3 + 1/x^3 + 3*x*1/x *(x + 1/x) = 27

x^3 + 1/x^3 + 3*(3) = 27

x^3 + 1/x^3 = 18 —(1)

Cubbing both sides on negative

x^3 + 1/x^3 + 3*x*1/x*(x+ 1/x) = -27

x^3 + 1/x^3 - 9 = -27

x^3 + 1/x^3 = -18—(2)

Mark me as brainliest if u find this useful ♡´･ᴗ･`♡