What is (x^2)/(23)+(y^2)/(19)=1 ?

The solution to (x^2)/(23)+(y^2)/(19)=1 is Ellipse with (h,k)=(0,0),a=sqrt(23),b=sqrt(19)

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(x^2)/(23)+(y^2)/(19)=1

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

(h, k) = (0, 0), a = 23, b = 19

Solution steps

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

Rewrite

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 23 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 19 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 23, b = 19

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 23, b = 19

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 3 ) ^{2}}{16} = 1

(x + 5)^{2} + \frac{( y + 2 ) ^{2}}{16} = 1

9 x^{2} + 36 y^{2} - 54 x + 72 y - 207 = 0

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

What is (x^2)/(23)+(y^2)/(19)=1 ?
The solution to (x^2)/(23)+(y^2)/(19)=1 is Ellipse with (h,k)=(0,0),a=sqrt(23),b=sqrt(19)