What is 8x^2+18y^2+32x-36y-22=0 ?

The solution to 8x^2+18y^2+32x-36y-22=0 is Ellipse with (h,k)=(-2,1),a=3,b=2

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8x^2+18y^2+32x-36y-22=0

8 x^{2} + 18 y^{2} + 32 x - 36 y - 22 = 0

(h, k) = (- 2, 1), a = 3, b = 2

Solution steps

8 x^{2} + 18 y^{2} + 32 x - 36 y - 22 = 0

Rewrite

8 x^{2} + 18 y^{2} + 32 x - 36 y - 22 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 3, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), a = 3, b = 2

What is 8x^2+18y^2+32x-36y-22=0 ?
The solution to 8x^2+18y^2+32x-36y-22=0 is Ellipse with (h,k)=(-2,1),a=3,b=2