What is x^2+4y^2=4x ?

The solution to x^2+4y^2=4x is Ellipse with (h,k)=(2,0),a=2,b=1

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x^2+4y^2=4x

x^{2} + 4 y^{2} = 4 x

(h, k) = (2, 0), a = 2, b = 1

Solution steps

x^{2} + 4 y^{2} = 4 x

Rewrite

x^{2} + 4 y^{2} = 4 x

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 0), a = 2, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 0), a = 2, b = 1

x^{2} + 4 y^{2} = 64

\frac{25 x ^{2} + 16 y ^{2}}{400} = 1

\frac{y ^{2}}{16} + \frac{x ^{2}}{4} = 1

12 x^{2} + 8 y^{2} = 96

10 x^{2} + 3 y^{2} = 30

What is x^2+4y^2=4x ?
The solution to x^2+4y^2=4x is Ellipse with (h,k)=(2,0),a=2,b=1