What is (x^2)/(100)+(y^2)/(36)=1 ?

The solution to (x^2)/(100)+(y^2)/(36)=1 is Ellipse with (h,k)=(0,0),a=10,b=6

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(x^2)/(100)+(y^2)/(36)=1

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

(h, k) = (0, 0), a = 10, b = 6

Solution steps

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

Rewrite

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 10, b = 6

4 x^{2} - y^{2} = 16

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

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

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

\frac{x ^{2}}{36} - \frac{y ^{2}}{4} = 1

What is (x^2)/(100)+(y^2)/(36)=1 ?
The solution to (x^2)/(100)+(y^2)/(36)=1 is Ellipse with (h,k)=(0,0),a=10,b=6