SOLUTION: Put this conic section into standard form. What is the a^2 value? 25x^2 + 16y^2 + 150x = 160y - 225

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Put this conic section into standard form. What is the a^2 value? 25x^2 + 16y^2 + 150x = 160y - 225      Log On


   

Question 752759: Put this conic section into standard form. What is the a^2 value? 25x^2 + 16y^2 + 150x = 160y - 225
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Put this conic section into standard form. What is the a^2 value?
25x^2 + 16y^2 + 150x = 160y - 225
complete the square
25x^2+150x+16y^2-160y = -225
25(x^2+6x+9)+16(y^2-10y+25) = -225+225+400
%28x%2B3%29%5E2%2F16%2B%28y-5%29%5E2%2F25=1
This is an equation of an ellipse with vertical transverse axis.
Its standard form: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1 , (h,k)=(x,y) coordinates of center
a^2=25