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

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

Popular >

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

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

9 x^{2} + 4 y^{2} - 72 x - 24 y + 144 = 0

4 x^{2} + 25 y^{2} - 8 x + 100 y + 4 = 0

\frac{2 ( x - 6 ) ^{2}}{3} + \frac{7 ( y + 4 ) ^{2}}{4} = 1

x^{(2)} + 2 y^{(2)} + 2 x - 20 y + 43 = 0

\frac{( x - 2 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{4} = 1

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