Question

$$20= \frac{ { V }^{ 2 } -36 }{ 3.2 }$$

Answer

V=10,-10

Solution


Multiply both sides by \(3.2\).
\[20\times 3.2={V}^{2}-36\]
Simplify  \(20\times 3.2\)  to  \(64\).
\[64={V}^{2}-36\]
Add \(36\) to both sides.
\[64+36={V}^{2}\]
Simplify  \(64+36\)  to  \(100\).
\[100={V}^{2}\]
Take the square root of both sides.
\[\pm \sqrt{100}=V\]
Since \(10\times 10=100\), the square root of \(100\) is \(10\).
\[\pm 10=V\]
Switch sides.
\[V=\pm 10\]