Question

A number n is increased by 8. If the cube root of that results equals -0.5, what is the value of n?

Answer 1

The cube root of (n increased by 8), or  ∛(n+8), is -0.5, or -1/2.

∛(n+8) = -1/2.  To solve this for n, cube both sides, obtaining n+8 = -1/8.

Eliminate the fraction by mult. all three terms by 8:             8n + 64 = -1

Solving for n:  8n = -65, so that n = -65/8.