Question

8. Find the solution of the following equation: 7-√√4 - x = 4a. -13b. 13c. -5d. 5e. 6

Answer 1

c. -5

Explanation

given

$7-\sqrt{4-x}=4$

Step 1

a) subtract 7 in both sides

$\begin{gathered} 7-\sqrt{4-x}=4 \\ 7-\sqrt{4-x}\text{ -7}=4-7 \\ -\sqrt{4-x}=-3 \end{gathered}$

b) divide both sides by -1

$\begin{gathered} -\sqrt{4-x}=-3 \\ \frac{-\sqrt{4-x}}{-1}=\frac{-3}{-1} \\ \sqrt{4-x}=3 \end{gathered}$

c) now, toeliminate the root, power two sides to 2

$\begin{gathered} \sqrt{4-x}=3 \\ (\sqrt{4-x})^2=3^2 \\ 4-x=9 \end{gathered}$

d) subtract 4 in both sides

$\begin{gathered} 4-x=9 \\ 4-x-4=9-4 \\ -x=5 \\ x=-5 \end{gathered}$

therefore, the answer is

c. -5

I hope this helps you