Problem of the Week

Updated at Dec 16, 2019 5:03 PM

This week we have another equation problem:

How can we solve the equation \(\frac{25({y}^{2}-3)}{y}=-50\)?

Let's start!



\[\frac{25({y}^{2}-3)}{y}=-50\]

1
Multiply both sides by \(y\).
\[25({y}^{2}-3)=-50y\]

2
Divide both sides by \(25\).
\[{y}^{2}-3=-2y\]

3
Move all terms to one side.
\[{y}^{2}-3+2y=0\]

4
Factor \({y}^{2}-3+2y\).
\[(y-1)(y+3)=0\]

5
Solve for \(y\).
\[y=1,-3\]

Done