Aptitude | Algebra | Question 2

The value of x+1/2x is given as 2, then find the value of 8x³+1/x³

(A)

40/3

(B)

20/7

(C)

28

(D)

40

Answer: (D)

Explanation:

x³ + 1/8x³ + 3.x.1/2x(x + 1/2x) = (x+1/2x)³

x³ + 1/8x³ + 3 = 2³

x³ + 1/8x³ = 5

8x³ + 1/x³ = 5.8 = 40

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