What is 5x^2+y^2=25 ?

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

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5x^2+y^2=25

5 x^{2} + y^{2} = 25

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

Solution steps

5 x^{2} + y^{2} = 25

Rewrite

5 x^{2} + y^{2} = 25

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

4 (x - 5)^{2} + 3 (y - 5)^{2} = 192

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

\frac{( x - 1 ) ^{2}}{9} + \frac{( y + 5 ) ^{2}}{16} = 1

\frac{( x - 18.093 ) ^{2}}{20} + \frac{( y - 3 ) ^{2}}{21} = 1

\frac{( x - 20 ) ^{2}}{4} + \frac{( y + 1 ) ^{2}}{9} = 1

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