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

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

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64x^2+y^2=64

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

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