What is x^2+64y^2=64 ?

The solution to x^2+64y^2=64 is Ellipse with (h,k)=(0,0),a=8,b=1

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x^2+64y^2=64

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

(h, k) = (0, 0), a = 8, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{8 ^{2}} + \frac{( y - 0 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 8, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 8, b = 1

3 x^{2} + 4 y^{2} + 12 x - 8 y + 9 = 0

3 x^{2} + 5 y^{2} - 6 x + 8 y - 7 = 0

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

5 x^{2} + 9 y^{2} = 81

\frac{x ^{2}}{45} + \frac{y ^{2}}{49} = 1

What is x^2+64y^2=64 ?
The solution to x^2+64y^2=64 is Ellipse with (h,k)=(0,0),a=8,b=1