Resposta:
[tex] \frac{25}{x - 5} = \frac{x + 30}{x + 10} \\ (x + 10).25 = (x - 5)(x + 30) \\ 25x + 250 = {x}^{2} + 30x - 5x - 150 \\ 25x - 30x + 5x - {x}^{2} = - 250 - 150 \\ - {x}^{2} = - 400 \\ x {}^{2} = 400 \\ x = \sqrt{400} \\ x = 20[/tex]
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Resposta:
[tex] \frac{25}{x - 5} = \frac{x + 30}{x + 10} \\ (x + 10).25 = (x - 5)(x + 30) \\ 25x + 250 = {x}^{2} + 30x - 5x - 150 \\ 25x - 30x + 5x - {x}^{2} = - 250 - 150 \\ - {x}^{2} = - 400 \\ x {}^{2} = 400 \\ x = \sqrt{400} \\ x = 20[/tex]