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Aptitude | Algebra | Question 2

  • Difficulty Level : Easy
  • Last Updated : 31 Aug, 2021
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If x+1/2x = 2, find the value of 8x3+1/x3
(A) 40
(B) 20
(C) 28
(D) 35


Answer: (A)

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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