Respuesta :

[tex]\begin{gathered} \sqrt{z\text{ + 3 }}\text{ + }\sqrt{z\text{ - 2}}\text{ = 5} \\ \sqrt{z\text{ + 3}}\text{ = 5 - }\sqrt{z\text{ - 2}} \\ (\sqrt{z\text{ + 3}})^2\text{ = (5 - }\sqrt{z\text{ - 2}})^2 \\ z\text{ + 3 = 25 - 10}\sqrt{z\text{ - 2}}\text{ + z - 2} \\ z\text{ + 3 - 25 - z + 2 = -10}\sqrt{z\text{ - 2}} \\ \frac{\square}{\square}\text{ -20 = -10}\sqrt{z\text{ - 2}} \\ (-20)^2\text{ = (-10}\sqrt{z\text{ - 2}})^2 \\ \text{ 400 = 100(z - 2)} \\ \frac{400}{100\text{ }}=\text{ z - 2} \\ \text{ 4 = z - 2} \\ \text{ z = 4 + 2} \\ \text{ z = 6} \end{gathered}[/tex]

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