What is (x^2)/(15)+(y^2)/(17)=1 ?

The solution to (x^2)/(15)+(y^2)/(17)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=sqrt(17)

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(x^2)/(15)+(y^2)/(17)=1

\frac{x ^{2}}{15} + \frac{y ^{2}}{17} = 1

(h, k) = (0, 0), a = 15, b = 17

Solution steps

\frac{x ^{2}}{15} + \frac{y ^{2}}{17} = 1

Rewrite

\frac{x ^{2}}{15} + \frac{y ^{2}}{17} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 17 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 15, b = 17

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 17, a = 15

4 x^{2} + y^{2} + 40 x + 6 y + 95 = 0

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

\frac{( x - 2 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{25} = 1

\frac{x ^{2}}{64} + \frac{y ^{2}}{25} = 1

3 x^{2} + 4 y^{2} - 16 x + 16 = 0

What is (x^2)/(15)+(y^2)/(17)=1 ?
The solution to (x^2)/(15)+(y^2)/(17)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=sqrt(17)