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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