Completing Square and quadratics

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The discussion focuses on solving quadratic equations using the completing the square method, with specific examples provided. Participants seek clarification on the definitions of monic and non-monic equations, as well as detailed steps for completing the square. There is a suggestion to utilize online resources for better understanding, as some users find their notes insufficient. The concept of a monic quadratic is defined as one where the leading coefficient is 1. Overall, the thread emphasizes the importance of seeking specific help after making a serious attempt at solving problems.
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Homework Statement


Solve for x
Q1. 4x^2-9=0
Q2. x^2+11x+28=0
Q3. x^2+4x+3=0
Q4. 2y^2+y-1=0
Q5. 6x^2-x-1=0


Homework Equations


What are non-monic and monic equations?
How do I use the "Completing the square method"?
Could you please show me the working out you did?

The Attempt at a Solution


N/A
_________
Thanks for the help
 
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You surely have some notes on this, or a chapter in your textbook that explains this? For really general questions like this, if you seriously can't find anything in your notes or textbook, its very simple to search terms like "monic" and "completing the square" into Google! We are here for specific help, when you are stuck on a question that you have given a serious attempt to!
 
yes, there are notes, but i didn't completely understand them as the lacked detail, even if you could post the method, that would be fine... google hasnt been much of a help
 
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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