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 p2+25+2=135\frac{{p}^{2}+2}{5}+2=\frac{13}{5}?

Let's start!



p2+25+2=135\frac{{p}^{2}+2}{5}+2=\frac{13}{5}

1
Subtract 22 from both sides.
p2+25=135−2\frac{{p}^{2}+2}{5}=\frac{13}{5}-2

2
Simplify  135−2\frac{13}{5}-2  to  35\frac{3}{5}.
p2+25=35\frac{{p}^{2}+2}{5}=\frac{3}{5}

3
Multiply both sides by 55.
p2+2=35×5{p}^{2}+2=\frac{3}{5}\times 5

4
Cancel 55.
p2+2=3{p}^{2}+2=3

5
Subtract 22 from both sides.
p2=3−2{p}^{2}=3-2

6
Simplify  3−23-2  to  11.
p2=1{p}^{2}=1

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

8
Simplify  1\sqrt{1}  to  11.
p=±1p=\pm 1

Done
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