Question

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

Answer 1

c. -5

Step-by-step explanation

given

`7-√(4-x)=4`

Step 1

a) subtract 7 in both sides

`\begin{gathered} 7-√(4-x)=4 \\ 7-√(4-x)\text{ -7}=4-7 \\ -√(4-x)=-3 \end{gathered}`

b) divide both sides by -1

`\begin{gathered} -√(4-x)=-3 \\ (-√(4-x))/(-1)=(-3)/(-1) \\ √(4-x)=3 \end{gathered}`

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

`\begin{gathered} √(4-x)=3 \\ (√(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