Problem of the Week

Updated at Dec 30, 2024 10:26 AM

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

How would you solve \(4({x}^{2}-3)-3=1\)?

Here are the steps:



\[4({x}^{2}-3)-3=1\]

1
Add \(3\) to both sides.
\[4({x}^{2}-3)=1+3\]

2
Simplify  \(1+3\)  to  \(4\).
\[4({x}^{2}-3)=4\]

3
Divide both sides by \(4\).
\[{x}^{2}-3=1\]

4
Add \(3\) to both sides.
\[{x}^{2}=1+3\]

5
Simplify  \(1+3\)  to  \(4\).
\[{x}^{2}=4\]

6
Take the square root of both sides.
\[x=\pm \sqrt{4}\]

7
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[x=\pm 2\]

Done
Cymath foriOSAndroid