Question

If $\sqrt[4]{4\frac{x+1}{2}}=\frac{1}{2}$, then find $x$.

• A. $-0.969$
• B. $-0.875$
• C. $0$
• D. $0.875$

Answer 1

The correct option is B $-0.875$

Given is $\sqrt[4]{4\frac{x+1}{2}}=\frac{1}{2}$

Now Raising the power to $4$ on both sides, we get

$\frac{x+1}{2}={\left(\frac{1}{2}\right)}^4\Rightarrow \frac{x+1}{2}=\frac{1}{16}\Rightarrow 16x+16=2\Rightarrow x=-0.875$