Question

Compute the approximate value of $x$: $\sqrt[3]{3\frac{2x+3}{5}}=\frac{2}{3}$

• A. $-0.76$
• B. $-0.69$
• C. $-0.67$
• D. $0.69$
• E. $0.76$

Answer 1

Answer: (A)

$-0.76$

Given is $\sqrt[3]{3\frac{2x+3}{5}}=\frac{2}{3}$

Now raising the power to $3$ on both sides, we get

$\frac{2x+3}{5}={\left(2/3\right)}^3\Rightarrow \frac{2x+3}{5}=\frac{8}{27}\Rightarrow 54x+81=40\Rightarrow x=-0.76$