Problem of the Week

Updated at Apr 3, 2023 5:22 PM

How would you solve the equation \(\frac{4{(n+2)}^{2}}{4}=16\)?

Below is the solution.



\[\frac{4{(n+2)}^{2}}{4}=16\]

1
Cancel \(4\).
\[{(n+2)}^{2}=16\]

2
Take the square root of both sides.
\[n+2=\pm \sqrt{16}\]

3
Since \(4\times 4=16\), the square root of \(16\) is \(4\).
\[n+2=\pm 4\]

4
Break down the problem into these 2 equations.
\[n+2=4\]
\[n+2=-4\]

5
Solve the 1st equation: \(n+2=4\).
\[n=2\]

6
Solve the 2nd equation: \(n+2=-4\).
\[n=-6\]

7
Collect all solutions.
\[n=2,-6\]

Done
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