Question

if 4-x=1/x,find value of x^3+1/x^3​

Answer 1

Answer:

52

Step-by-step explanation:

x + 1/x = 4 (by transposition)

Now take whole cube

Whole cube = 64

Whole cube = x^3 + 1/x^3 + 3(x + 1/x)

64 = x^3 + 1/x^3 + 3(4)

64 = x^3 + 1/x^3 + 12

52 = x^3 + 1/x^3

Hope this helped :-)

Answer 2

Step-by-step explanation:

given that

4-x=1/x

x+1/x = 4

(x + 1/x)^3 = 4^3

x^3 + 3x^2 1/x + 3 x (1/x)^3 +( 1/x)^3 = 64

x^3 + 1/x^3 +3(x + 1/x) = 64

x^3 + 1/x^3 + 12 = 64

x^ + 1/x^3 = 64-12

x^3 + 1/x^3 = 52

Hence the answer is 52