anonymous
  • anonymous
Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credit. x2 + 2x + y2 + 4y = 20 Help me please I will give a medal and fan!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
So far i have this x2 + 2x + y2 + 4y = 20 (x2 + 2x) + (y2 + 4y) = 20
misty1212
  • misty1212
H!!
misssunshinexxoxo
  • misssunshinexxoxo
The radius is r = sqrt(25) = 5

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misty1212
  • misty1212
complete mr square twice, once for each term
anonymous
  • anonymous
I need help figuring it out though, i have no idea whatsoever ho to do this problem.
anonymous
  • anonymous
@dan815 @Michele_Laino
anonymous
  • anonymous
Can someone walk me through this please?
DanJS
  • DanJS
for each to complete the square, take the coefficient on the linear x, y term and add to that quantity half of its square
anonymous
  • anonymous
I honestly have no idea how to do that..
anonymous
  • anonymous
So do i have to figure out that equation? I honestly dont think ill be able to learn this, ive been trying for about an hour
DanJS
  • DanJS
(x^2 + 2x + 1^2 ) + (y^2 + 4y + 2^2) = 20 + 1^2 + 2^2 you take half the middle term and add the square of it , now you can do this (x+1)^2 + (y+2)^2 = 25
DanJS
  • DanJS
http://www.mathsisfun.com/algebra/completing-square.html
DanJS
  • DanJS
the center of a circle in that form is (x - h)^2 + (y - k)^2 = r^2 here C(h,k) = C(-1 , -2) and r is the square root of 25
anonymous
  • anonymous
so the radius is 25 and the center of the circle is 5?
anonymous
  • anonymous
since 5 is the square root of 25
DanJS
  • DanJS
the center is the point (h,k) or ( -1 , -2),, how far each point on the circle is away from that center; the radius, is the square root of 25, or 5
DanJS
  • DanJS
r^2 = 25 r = 5
anonymous
  • anonymous
i am so confused.....
DanJS
  • DanJS
after you complete the squares, you have an equation in the form of ... (x-h)^2 + (y-k)^2 = r^2 r= radius, and (h,k) = the center point

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