Question

Convert 9x2 + 4y2 – 54x – 8y – 59 = 0 into standard form.

Answer 1

Explanation:

it's D

Answer 2

`((x-3)^2)/(4^2) +((y-1)^2)/(6^2) =1`

Explanation:

`9x^(2)+4y^(2) -54x-8y-59=0`

`9x^(2)-54x+4y^(2) -8y=59`

Factor 9 and 4 out

`9(x^2-6x)+4(y^2-2y)=59`

Complete the square, don't forget to add the 2 extra numbers

`9(x-3)^2+4(y-1)^2=59+81+4`

`9(x-3)^2+4(y-1)^2=144\\`

Divide everything by 144

`((x-3)^2)/(16) +((y-1)^2)/(36) =1`