## solve each of the following equations: $$\frac{4 }{9} – \frac{x {}^{2} }{25} = 0$$ ​

Question

solve each of the following equations:
$$\frac{4 }{9} – \frac{x {}^{2} }{25} = 0$$

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1 year 2021-09-05T01:29:34+00:00 1 Answers 12 views 0

$$x = 3\frac{1}{3}, \: \: x = – 3\frac{1}{3}$$
$$\frac{4 }{9} – \frac{x {}^{2} }{25} = 0 \\ \\ = { \bigg( \frac{2}{3} \bigg) }^{2} – { \bigg( \frac{x}{5} \bigg) }^{2} = 0\\ \\ { \bigg( \frac{2}{3} -\frac{x}{5} \bigg) }{ \bigg( \frac{2}{3} + \frac{x}{5} \bigg) } = 0 \\ \\ { \bigg( \frac{2}{3} -\frac{x}{5} \bigg) } = 0, \: \: { \bigg( \frac{2}{3} + \frac{x}{5} \bigg) } = 0 \\ \\ \frac{x}{5} = \frac{2}{3}, \: \: \frac{x}{5} = – \frac{2}{3} \\ \\ x = \frac{10}{3}, \: \: x = – \frac{10}{3} \\ \\ x = 3\frac{1}{3}, \: \: x = – 3\frac{1}{3} \\ \\$$