What is 16x^2+y^2+96x-10y=-153 ?

The solution to 16x^2+y^2+96x-10y=-153 is Ellipse with (h,k)=(-3,5),a=1,b=4

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16x^2+y^2+96x-10y=-153

16 x^{2} + y^{2} + 96 x - 10 y = - 153

(h, k) = (- 3, 5), a = 1, b = 4

Solution steps

16 x^{2} + y^{2} + 96 x - 10 y = - 153

Rewrite

16 x^{2} + y^{2} + 96 x - 10 y = - 153

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{1 ^{2}} + \frac{( y - 5 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 5), a = 1, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 5), b = 4, a = 1

What is 16x^2+y^2+96x-10y=-153 ?
The solution to 16x^2+y^2+96x-10y=-153 is Ellipse with (h,k)=(-3,5),a=1,b=4