SOLUTION: Alright here is my question: Write the equation of the ellipse in standard form and find the coordinates of the center, foci, and vertices. x^2+10x+36y=1 I got this so far- x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Alright here is my question: Write the equation of the ellipse in standard form and find the coordinates of the center, foci, and vertices. x^2+10x+36y=1 I got this so far- x      Log On


   

Question 116546This question is from textbook College Algebra
: Alright here is my question: Write the equation of the ellipse in standard form and find the coordinates of the center, foci, and vertices.
x^2+10x+36y=1
I got this so far- x(x+10)+6y(6y)=1 This question is from textbook College Algebra

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
((x-h)^2)/a^2+((y-k)^2)/b^2=1

x^2+10x+36y^2=1 ___ x^2+10x+25+36y^2=26 ___ (x+5)^2+36(y+0)^2=26

((x+5)^2/26+((y+0)^2)/(26/36)=1