What is (x^2)/(36)+(y^2)/(64)=1 ?

The solution to (x^2)/(36)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=6,b=8

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(x^2)/(36)+(y^2)/(64)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{64} = 1

(h, k) = (0, 0), a = 6, b = 8

Solution steps

\frac{x ^{2}}{36} + \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{36} + \frac{y ^{2}}{64} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, 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 = 6

25 x^{2} + 16 y^{2} - 50 x + 64 y - 311 = 0

\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1

\frac{( x - 1 ) ^{2}}{1} + \frac{( y - 3 ) ^{2}}{4} = 1

x^{2} + y^{2} - 12 y = 0

\frac{x ^{2}}{5} + \frac{y ^{2}}{3} = 1

What is (x^2)/(36)+(y^2)/(64)=1 ?
The solution to (x^2)/(36)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=6,b=8