Regarding Circles, I am tasked with writing the standard form of an equation and general form of the equation. r=10, C(-6,8) I understand the standard form of the equation of the circle: (x-h)2 + (y-k)2 = r2 Applying that method, I arrive at the answer (x+6)2 + (y-8)2 = 100. I do not understand how the general form of the equation arrives at: x2 + 12x + 36 +y2 - 16y + 64=100. What is confusing me is the professor didn't explain how to go from Standard to General. I do not understand how to arrive at 12x and not 36x. And I do not understand how to get to 36 with no x. I do not understand the same for y at -16y and then 64 with no y. Why would you add 6+6 and 8+8?
Regarding Circles, I am tasked with writing the standard form of an equation and general form of the equation. r=10, C(-6,8) I understand the standard form of the equation of the circle: (x-h)2 + (y-k)2 = r2 Applying that method, I arrive at the answer (x+6)2 + (y-8)2 = 100. I do not understand how the general form of the equation arrives at: x2 + 12x + 36 +y2 - 16y + 64=100. What is confusing me is the professor didn't explain how to go from Standard to General. I do not understand how to arrive at 12x and not 36x. And I do not understand how to get to 36 with no x. I do not understand the same for y at -16y and then 64 with no y. Why would you add 6+6 and 8+8?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Regarding Circles, I am tasked with writing the standard form of an equation and general form of the equation.
r=10, C(-6,8)
I understand the standard form of the equation of the circle: (x-h)2 + (y-k)2 = r2
Applying that method, I arrive at the answer (x+6)2 + (y-8)2 = 100.
I do not understand how the general form of the equation arrives at: x2 + 12x + 36 +y2 - 16y + 64=100.
What is confusing me is the professor didn't explain how to go from Standard to General. I do not understand how to arrive at 12x and not 36x. And I do not understand how to get to 36 with no x.
I do not understand the same for y at -16y and then 64 with no y.
Why would you add 6+6 and 8+8?
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