Question

What is the value of x in the equation 1,331 x ^3 − 216 = 0?

A. -6/11

B. 11/6

C. 1/6

D. 6/11 (correct)

Answer 1

choice D . x = 6/11

Explanation:

1,331 x ^3 − 216 = 0?

11^3 = 1331

6^3 = 216

(11x)^3 - 6^3 = 0

We have (11x - 6) * ( (11x)^2 + 6*(11x ) + 36) = 0

Solve 11x - 6 = 0

x = 6/11