Respuesta :

geerky42
"The square of the sum of the number and 25 is equal to 36" translates to 
[tex](n+25)^2=36[/tex]

Take square root of both sides:

[tex]|n+25|=6\quad\Longrightarrow\quad n+25 = 6\ \text{ or }\ n+25=-6[/tex]

Then subtract both sides by 25:

[tex]n = 6-25\ \text{ or }\ n=-6-25\\\ \\\boxed{n=-19\ \text{or}\ n=-31}[/tex]

Hope this helps.

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