Problem of the Week

Updated at Dec 1, 2025 5:39 PM

To get more practice in equation, we brought you this problem of the week:

How can we solve the equation \(2+4{(4u)}^{2}=66\)?

Check out the solution below!



\[2+4{(4u)}^{2}=66\]

1
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[2+4\times {4}^{2}{u}^{2}=66\]

2
Simplify  \({4}^{2}\)  to  \(16\).
\[2+4\times 16{u}^{2}=66\]

3
Simplify  \(4\times 16{u}^{2}\)  to  \(64{u}^{2}\).
\[2+64{u}^{2}=66\]

4
Subtract \(2\) from both sides.
\[64{u}^{2}=66-2\]

5
Simplify  \(66-2\)  to  \(64\).
\[64{u}^{2}=64\]

6
Divide both sides by \(64\).
\[{u}^{2}=1\]

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

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

Done
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