What is 25x^2+y^2=1 ?

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

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25x^2+y^2=1

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

(h, k) = (0, 0), a = \frac{1}{5}, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{5}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{5}

\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

\frac{( x + 1 ) ^{2}}{2} + \frac{( y - 6 ) ^{2}}{187} = 1

x^{2} + 5 y^{2} - 6 x + 20 y = - 24

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