What is (x^2)/(15)+(y^2)/(45)=1 ?

The solution to (x^2)/(15)+(y^2)/(45)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=3sqrt(5)

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(x^2)/(15)+(y^2)/(45)=1

\frac{x ^{2}}{15} + \frac{y ^{2}}{45} = 1

(h, k) = (0, 0), a = 15, b = 35

Solution steps

\frac{x ^{2}}{15} + \frac{y ^{2}}{45} = 1

Rewrite

\frac{x ^{2}}{15} + \frac{y ^{2}}{45} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 3 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 15, b = 35

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 35, a = 15

What is (x^2)/(15)+(y^2)/(45)=1 ?
The solution to (x^2)/(15)+(y^2)/(45)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=3sqrt(5)