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

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

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) (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

This is an equation of an ellipse with vertical transverse axis.
Its standard form: , (h,k)=(x,y) coordinates of center
a^2=25
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