Can some put this into an equation

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The Sum of an integer and its square is 210. Find the integer.
 
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Do it step by step:

The Sum of an integer (n) and its square (+ n^2) is 210 (= 210).

Now you write the equation.
 
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Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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