What is x^2+(y^2)/(25)=1 ?

The solution to x^2+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=1,b=5

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x^2+(y^2)/(25)=1

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

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

Solution steps

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

Rewrite

x^{2} + \frac{y ^{2}}{25} = 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}}{25} + \frac{( y + 3 ) ^{2}}{100} = 1

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

- \frac{x ^{2}}{4} - \frac{z ^{2}}{4} = 1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1

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

What is x^2+(y^2)/(25)=1 ?
The solution to x^2+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=1,b=5