# Pre-Calculus

posted by .

I am supposed to solve these conics, can you please help :)I am supposed to name the center and the vertices.

1. 3y^2-2x^2+12x+24+24y=0
2.-16x^2-4y^2=48x-20y+57

• Pre-Calculus -

complete square again and again

3 y^2 + 24 y = 2 x^2 -12 x - 24
divide by 3
y^2 + 8 y = (2/3) x^2 - 4 x - 8
add square of half of 8
y^2 + 8 y + 16 = (2/3) x^2 - 4 x + 8
or
(y+4)^2 = -------
now multiply by (3/2)
(3/2)(y+4)^2 = x^2 - 6 x + 12
move 12 over
(3/2)(y+4)^2 -12 = x^2 - 6 x
add square of half of 6
(3/2)(y+4)^2 -3 = x^2 - 6 x + 9
or
(3/2)(y+4)^2 -3 = (x-3)^2
or
(3/2)(y+4)^2 - (x-3)^2 = 3

(y+4)^2 /2 - (x-3)^2/3 = 1

Patience, patience :)

## Similar Questions

1. ### help...solving a polynomial....algebra

solve this please....help me....12x(squared)+7x-10 Do you wish to factor this trinomial?
2. ### Pre-Cal

Find the standard form of the equation of the ellipse. (Remember center is midpoint between either foci or vertices) (1) 9x^2+4y^2+36x-24y+36=0 (2) Vertices: (0,5)(0,-5) Passes through the point (4,2) Centered at the origin
3. ### Algebra

I don't know how to solve 12x(2)-15x=0 using the quadratic equation ax+bx+c=0 with this question I am unsure of what a, b and c are supposed to be, therefore I do not know how to solve this! Please help!
4. ### math 30 conics

Hi i was given the equation (y-2)^2 - x^2/4 =1. I need to find the center, vertices and asymptotes of this hyperbola. I found the center (0,2) and the vertices were tricky but I think they are (0,1) (0,3) but I'm having trouble finding …
5. ### Pre Calc

Complete the square to find the center and the radius of the circle: 3x^2+3y^2-12x+24y+15=0
6. ### Pre Calc

Complete the square to find the center and the radius of the circle. 3x^2+3y^2-12x+24y+15=0
7. ### Calculus

I am supposed to find when there will be 40 berry bushes. I am given the function p(t)=(16t+50t^3)^1/3. P is the population of a certain type of bush in a conservation area and t is time in years. I know that i am supposed to make …
8. ### Pre-calc

Heres the equation: (x^2)-(4y^2)-(4x)+(24y)-(36)=0 Your supposed to find the coordinates of the center, foci, and vertices, and the equations of the asymptotes of its graph. So first you complete the square right?
9. ### calculus

i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i don't know what im doing wrong. answer: 10x^9 + 36x^8 − …
10. ### college pre-calculus

4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius?

More Similar Questions