Problem of the Week

Updated at Aug 26, 2019 12:46 PM

For this week we've brought you this equation problem.

How would you solve the equation \({(\frac{5}{5}y)}^{2}+6=22\)?

Here are the steps:



\[{(\frac{5}{5}y)}^{2}+6=22\]

1
Cancel \(5\).
\[{(1\times y)}^{2}+6=22\]

2
Simplify  \(1\times y\)  to  \(y\).
\[{y}^{2}+6=22\]

3
Subtract \(6\) from both sides.
\[{y}^{2}=22-6\]

4
Simplify  \(22-6\)  to  \(16\).
\[{y}^{2}=16\]

5
Take the square root of both sides.
\[y=\pm \sqrt{16}\]

6
Since \(4\times 4=16\), the square root of \(16\) is \(4\).
\[y=\pm 4\]

Done
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