SOLUTION: I need to convert this equation to standard form: 16x^2 + 4y^2 + 96x - 8y + 84 = 0 I know the standard form is x^2/a^2 + y^2/b^2 = 1 How do I begin?

Question 195695: I need to convert this equation to standard form:
16x^2 + 4y^2 + 96x - 8y + 84 = 0
I know the standard form is x^2/a^2 + y^2/b^2 = 1
How do I begin?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I need to convert this equation to standard form:
16x^2 + 4y^2 + 96x - 8y + 84 = 0
I know the standard form is x^2/a^2 + y^2/b^2 = 1
How do I begin?
-----------------
Separate x's and y's
16x^2 + 96x + 4y^2 - 8y = -84
Complete the squares for x and y
(16x^2 + 96x + 144) + (4y^2 - 8y + 4) = -84 + 148
(4x + 12)^2 + (2y - 2)^2 = 64
16(x+3)^2 + 4(y-1)^2 = 64
(x+3)^2 + (y-1)^2/4 = 4

If that's not sufficient, email me via the thank you note.

RELATED QUESTIONS
I need someone to show me how to convert this equation to standard form.... (answered by ewatrrr)

If the ellipse defined by the equation 16x^2+4y^2+96x-8y+84=0 is translated 6 units down... (answered by Edwin McCravy)

Convert the equation to standard form by completing the square... (answered by MathLover1)

I need to put this euqation into standard form. (Then find the center, vertices, foci,... (answered by lwsshak3)

Hi, i need help putting these into standard form: this eqn is a hyperbola but i need it... (answered by solver91311)

x^2+4y^2-6x+16y+21=0 ellipse i need help to put it in standard form... (answered by lwsshak3)

I need to write this equation in standard form and I am stuck.... (answered by lwsshak3)

Convert x^2 + y^2 + x + y - 1/2 = 0 to the standard form of the equation of a circle. (answered by mananth)

I need to write this equation in standard form. y^2=-3x I know it's a parabola, but do... (answered by stanbon)