What is 4x^2+9y^2+8x+18y-23=0 ?

The solution to 4x^2+9y^2+8x+18y-23=0 is Ellipse with (h,k)=(-1,-1),a=3,b=2

Popular >

4x^2+9y^2+8x+18y-23=0

4 x^{2} + 9 y^{2} + 8 x + 18 y - 23 = 0

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

Solution steps

4 x^{2} + 9 y^{2} + 8 x + 18 y - 23 = 0

Rewrite

4 x^{2} + 9 y^{2} + 8 x + 18 y - 23 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

4 x^{2} + 9 y^{2} - 48 x + 72 y - 144 = 0

\frac{x ^{2}}{1 0 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

5 x^{2} + 20 x + 7 y^{2} + 14 y = 8

(\frac{x ^{2}}{4}) + \frac{y ^{2}}{9} = 5

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

What is 4x^2+9y^2+8x+18y-23=0 ?
The solution to 4x^2+9y^2+8x+18y-23=0 is Ellipse with (h,k)=(-1,-1),a=3,b=2