Posted by Connor on Tuesday, August 31, 2010 at 7:31pm.
3x^2+3y^2-12x+24y+15=0
3(x^2 - 4x + ...) + 3(y^2 + 8y + ...) = -15
3(x^2 - 4x + 4) + 3(y^2 + 8y + 16) = -15 + 12 + 48
3(x-2)^2 + 3(y+4)^2 = 45
(x-2)^2 + 3(y+4)^2 = 9
take it from there.
(I suppose I could have divided each term by 3 at the start)
Thank you so much, i'm so stressed if its not too much trouble check out some of my other questions;)
3x^2 + 3y^2 - 12x + 24y + 15 = 0.
Divide both sides of Eq by 3 to reduce
the coefficients of x^2 and y^2 to one:
x^2 + y^2 - 4x + 8y + 5 = 0
Complete the squares:
x^2 -4x + (-4/2)^2 + y^2 + 8y +(8/2)^2,
The terms that were added to complete
the square should be added to rt side
also:
x^2 -4x + 4 + y^2 +8y +16 = 4 +16 - 5,
Write the perfect squares as binomials
squared:
(x - 2)^2 + (x + 4)^2 = 15,
(x - h)^2 + (y - k)^2 = r^2 = STD Form.
C(h , k) = C(2 , -4), r^2 = 15, r =
sqrt(15) = 3.89.
Of course 45÷3 = 15 and not 9 like I had.
Silly me!
Related Questions
Pre Calc - Complete the square to find the center and the radius of the circle. ...
Pre-calc - Heres the equation: (x^2)-(4y^2)-(4x)+(24y)-(36)=0 Your supposed to ...
Find the center (h,k) and radius - Find the center (h,k) and radius r of the ...
pre calculus - Write the equation of the circle in standard form. Find the ...
pre calc - A square is drawn inside a square. Find the area of the square as a ...
pre calc need help - A square is drawn inside a square. Find the area of the ...
pre calc - find the equation of a circle with. Center (0,0), radius 2
Pre-Calc - Determine the center and the radius of the following circle: x^2+y^2+...
Pre-Calculus - I am supposed to solve these conics, can you please help :)I am ...
Pre-Calc - True or False: •Every equation of the form X^2+y^2+ax+by+c=c &#...
For Further Reading
