Question

If x⁴+1/x⁴ = 194, then x³ - 1/x³ =
A. 76
B. 52
C. 64
D. none of these

Answer 1

Answer:

c. is the correct answer ..........

Answer 2

Answer:

52

Step-by-step explanation:

a^2+b^2+2ab=(a+b)^2

(x^2)^2+(1/x^2)^2+2x^2+1/x^2=194+2

(x^2+1/x^2)^2=(14)^2

adding +2 on both sides

x^2+1/x^2+2=14+2

(x+1/x)^2=16=4^2

x+1/x=4

now,

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

4^3-3*4

64-12

52