Question

Write the equation of the ellipse in standard form

Answer 1

Answer:

h = 1, k = 2, a = 6 and b = 2.

Step-by-step explanation:

Start by grouping the terms in x and y together:

4x^2 - 8x  + 36y^2 - 144y = -4

Factor out the coefficient:

4(x^2 - 2x) + 36(y^2 - 4y) = -4

Complete the squares:

4 [(x - 1)^2 - 1] + 36 [y - 2)2 - 4] = -4

4(x - 1)^2 - 4 + 36(y - 2)^2 - 144 = -4

4(x - 1)^2 + 36(y - 2)^2 =  144

Divide through by 144:

(x - 1)^2 / 36 + (y - 2)^2/ 4 = 1

(x - 1)^2 / 6^2 + (y - 2)^2 / 2^2 = 1  (answer).

Answer 2

Answer:

h=1    K =2    a =6    b=2

Step-by-step explanation:

look this solution :