Problem of the Week

Updated at Feb 22, 2021 4:33 PM

This week we have another equation problem:

How can we solve the equation \(\frac{{p}^{2}+2}{5}+2=\frac{13}{5}\)?

Let's start!



\[\frac{{p}^{2}+2}{5}+2=\frac{13}{5}\]

1
Subtract \(2\) from both sides.
\[\frac{{p}^{2}+2}{5}=\frac{13}{5}-2\]

2
Simplify  \(\frac{13}{5}-2\)  to  \(\frac{3}{5}\).
\[\frac{{p}^{2}+2}{5}=\frac{3}{5}\]

3
Multiply both sides by \(5\).
\[{p}^{2}+2=\frac{3}{5}\times 5\]

4
Cancel \(5\).
\[{p}^{2}+2=3\]

5
Subtract \(2\) from both sides.
\[{p}^{2}=3-2\]

6
Simplify  \(3-2\)  to  \(1\).
\[{p}^{2}=1\]

7
Take the square root of both sides.
\[p=\pm \sqrt{1}\]

8
Simplify  \(\sqrt{1}\)  to  \(1\).
\[p=\pm 1\]

Done
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