What is (x^2}{64}+\frac{y^2)/9 =1 ?

The solution to (x^2}{64}+\frac{y^2)/9 =1 is Ellipse with (h,k)=(0,0),a=8,b=3

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(x^2}{64}+\frac{y^2)/9 =1

\frac{x ^{2}}{64} + \frac{y ^{2}}{9} = 1

(h, k) = (0, 0), a = 8, b = 3

Solution steps

\frac{x ^{2}}{64} + \frac{y ^{2}}{9} = 1

Rewrite

\frac{x ^{2}}{64} + \frac{y ^{2}}{9} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{8 ^{2}} + \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 8, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 8, b = 3

\frac{( x - 4 ) ^{2}}{36} + \frac{( y - 2 ) ^{2}}{6} - 1 = 0

8 x^{(2)} + 2 y^{(2)} + 16 x = 0

2 x^{2} + 5 y^{2} + 3 x + 30 y - 16 = 0

8 x^{2} + y^{2} = 10

4 x^{2} + 7 y^{2} = 8

What is (x^2}{64}+\frac{y^2)/9 =1 ?
The solution to (x^2}{64}+\frac{y^2)/9 =1 is Ellipse with (h,k)=(0,0),a=8,b=3