What is x^2+(y^2)/5 =1 ?

The solution to x^2+(y^2)/5 =1 is Ellipse with (h,k)=(0,0),a=1,b=sqrt(5)

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x^2+(y^2)/5 =1

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

(h, k) = (0, 0), a = 1, b = 5

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 1

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

\frac{( x - 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1

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

2 x^{2} - 6 < - 6 y^{2}

\frac{x ^{2}}{49} + \frac{y ^{2}}{169} = 1

What is x^2+(y^2)/5 =1 ?
The solution to x^2+(y^2)/5 =1 is Ellipse with (h,k)=(0,0),a=1,b=sqrt(5)