Question

$$3 { x }^{ 2 } -48=0$$

Answer

x=4,-4

Solution


Add \(48\) to both sides.
\[3{x}^{2}=48\]
Divide both sides by \(3\).
\[{x}^{2}=\frac{48}{3}\]
Simplify  \(\frac{48}{3}\)  to  \(16\).
\[{x}^{2}=16\]
Take the square root of both sides.
\[x=\pm \sqrt{16}\]
Since \(4\times 4=16\), the square root of \(16\) is \(4\).
\[x=\pm 4\]