Math(Please check)
posted by Abbey .
I am trying to find the standard form of this equation for an ellipse.
9x^2 + 4y^2  36x + 8y + 31 = 0
First I grouped the x and y's together.
9x^2  36x + ? + 4y^2 + 8y + ? = 31 + ? + ?
Then I factored the 9 and 4.
9(x^24x+4) + 4(x^2+2x+1) = 31+36+4
9(x2)^2 + 4(x1)^2 = 9
Then I divided it all by 9 and got:
(x2)^2 / 1 + 4(x1)^2 / 9 = 1
Is this correct or did I mess up somewhere?
Respond to this Question
Similar Questions

MATH/ Check?
Correct. what is pi The definition or the number? 
math/Check!
a. An ellipse is formed by stretching the graph of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of the ellipse in standard form x^2/a^2+y^2/b^2=1 (x/3) ^2+ (y/4) ^2=1 x^2/9 + y^2/16 … 
someone please chek my math!
a. An ellipse is formed by stretching the graph of x^2+ y^2=1 horizontally by a factor of 3 and vertically by a factor of 4. Determine the equation of the ellipse in standard form x^2/a^2+y^2/b^2=1 (x/3) ^2+ (y/4) ^2=1 x^2/9 + y^2/16 … 
pre cal
find the standard form of the equation of a parabola with the vertex (0,0) and the directrix y=6 find the standard form of the equation of the ellipse with center (0,0) and foci at (+ 4square root 3, 0) and verticies (+8,0) 
Algebra II
Write 36x^2360x25y^2100y=100 in standard form. Then state whether the graphs of the equation is a parabola, circle, ellipse, or hyperbola. I started with: 36(x^2 10x+25)25(y^2+4y+4)=100+36(25)25(4) which leads to: 36(x^210x+25)/900 … 
geometry
The area of an ellipse in the form (x*x/a*a)+(y*y)/(b*b)=1 is A=3.14*ab. For this ellipse, a+b=20. a. write the area of the ellipse as a function of a. b. Find the equation of the ellipse with an area of 264 square centimeters. c. … 
PreCal
Find the standard form of the equation of the ellipse. (Remember center is midpoint between either foci or vertices) (1) 9x^2+4y^2+36x24y+36=0 (2) Vertices: (0,5)(0,5) Passes through the point (4,2) Centered at the origin 
Math
I am trying to find the standard form of this equation for an ellipse. 9x^2 + 4y^2  36x + 8y + 31 = 0 First I grouped the x and y's together. 9x^2  36x + ? 
precalculus
the foci of an ellipse are (0,2) (0,2) and the eccentricity is 1/2. determine the equation of the ellipse. write your answer in standard form. 
math
let equation of an ellipse be x^2+4y^2+6x8y+9=0 a. Find the standard form of the ellipse b. Find the center c. Find the vertices d. Find the foci e. Find the eccentricity