Algebra Attachment: Solve the Problem Now

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The discussion focuses on solving a mathematical problem attached in the thread, which is identical to a previously posted question in general maths. The primary task is to solve for "a" to ensure the expression equals zero, followed by a similar solution for "b." Participants emphasize the simplicity of the algebra involved. The conversation highlights the importance of addressing the problem directly without unnecessary downloads. Clear solutions for both variables are sought to resolve the issue effectively.
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don't download the link, it is the identical question to that posted under the same title in general maths by sarvesh and that has been moved to, presumably, precalc homeworlk.
 
Simply solve for "a" so that the expression is always zero. Simple algebra there.

Do the same for "b", and there you go.
 

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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