Write the equation of the ellipse 4 x^2 + 25 y^2 + 8 x -100 y + 4 = 0 in standard form (x-h)^2/a^2 + (y-k)^2/b^2 = 1
Where: h =___
k =____
a =____
b =_____
+33657 1. 4x2 + 8x + 4 can be written as 4(x+1)2 or (x+1)2/(1/2)2
2. 25y2 -100y can be written as 25(y-2)2 - 100 or (y-2)2/(1/5)2 - 102
3. Using the above the original equation can be written as: (x+1)2/(1/2)2 + (y-2)2/(1/5)2 = 102
or (x+1)2/(1/20)2 + (y-2)2/(1/50)2 = 1
4. So h = -1; k = 2; a = 1/20; b = 1/50
.
+33657 1. 4x2 + 8x + 4 can be written as 4(x+1)2 or (x+1)2/(1/2)2
2. 25y2 -100y can be written as 25(y-2)2 - 100 or (y-2)2/(1/5)2 - 102
3. Using the above the original equation can be written as: (x+1)2/(1/2)2 + (y-2)2/(1/5)2 = 102
or (x+1)2/(1/20)2 + (y-2)2/(1/50)2 = 1
4. So h = -1; k = 2; a = 1/20; b = 1/50
.
