SOLUTION: I have two equations that I cant seem to solve because I dont understand. I have been trying to solve for two days, yes I am very rusty with this it has ben over 10yrs since I had
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Question 200474: I have two equations that I cant seem to solve because I dont understand. I have been trying to solve for two days, yes I am very rusty with this it has ben over 10yrs since I had to do algebra. If you could please help it wold be greatly appreciated. Tahnk you. Nakia
x^2+y^2+10x+14y+73=0
also
36x^2+36y^2+48x-36y-11=0
the directions for this equation tells me to find the center and length of a radius of each circle
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started
Start with the given equation
Subtract from both sides
Group like terms.
Complete the square for the x terms
Complete the square for the y terms
Combine like terms
Add to both sides
Combine like terms
Rewrite as
Rewrite as
Rewrite 1 as
-----------
Notice how the equation is now in the form . This means that this conic section is a circle where (h,k) is the center and is the radius.
In this case, , , and
So the circle has these properties:
CENTER: (-5,-7)
Radius: (ie the radius is one unit long)
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