Multiply both sides by \(4\).
\[{x}^{2}=\frac{25}{9}\times 4\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[{x}^{2}=\frac{25\times 4}{9}\]
Simplify \(25\times 4\) to \(100\).
\[{x}^{2}=\frac{100}{9}\]
Take the square root of both sides.
\[x=\pm \sqrt{\frac{100}{9}}\]
Simplify \(\sqrt{\frac{100}{9}}\) to \(\frac{\sqrt{100}}{\sqrt{9}}\).
\[x=\pm \frac{\sqrt{100}}{\sqrt{9}}\]
Since \(10\times 10=100\), the square root of \(100\) is \(10\).
\[x=\pm \frac{10}{\sqrt{9}}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[x=\pm \frac{10}{3}\]
Decimal Form: ±3.333333
x=10/3,-10/3
