Question

$$75-3 { x }^{ 2 } =0$$

Answer

x=5,-5

Solution


Subtract \(75\) from both sides.
\[-3{x}^{2}=-75\]
Divide both sides by \(-3\).
\[{x}^{2}=\frac{-75}{-3}\]
Two negatives make a positive.
\[{x}^{2}=\frac{75}{3}\]
Simplify  \(\frac{75}{3}\)  to  \(25\).
\[{x}^{2}=25\]
Take the square root of both sides.
\[x=\pm \sqrt{25}\]
Since \(5\times 5=25\), the square root of \(25\) is \(5\).
\[x=\pm 5\]