solve each of the following equations: [tex] \frac{4 }{9} – \frac{x {}^{2} }{25} = 0[/tex] ​

Question

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

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

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    2021-09-05T01:31:12+00:00

    Answer:

    [tex] x = 3\frac{1}{3}, \: \: x = – 3\frac{1}{3} [/tex]

    Step-by-step explanation:

    [tex]\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} \\ \\ [/tex]

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