Question

If the cube root of a number , which is $8$ more than a number $n$ equals $-0.5$, find the value of $n$.

• A. $-15.625$
• B. $-8.794$
• C. $-8.125$
• D. $-7.875$
• E. $421.875$

Answer 1

Answer: (C)

$-8.125$

We can form the algebraic equation from the given phrase as,

$\sqrt[3]{3n+8}=-0.5$

So, taking cube on both the sides, we get

$n+8=(-0.5{)}^3$

$n=-0.125–8$

$n=-8.125$