What is (x^2)/(15)+(y^2)/(64)=1 ?

The solution to (x^2)/(15)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=8

Popular >

(x^2)/(15)+(y^2)/(64)=1

\frac{x ^{2}}{15} + \frac{y ^{2}}{64} = 1

(h, k) = (0, 0), a = 15, b = 8

Solution steps

\frac{x ^{2}}{15} + \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{15} + \frac{y ^{2}}{64} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

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

1 = \frac{x ^{2}}{4} + \frac{y ^{2}}{9}

28 x^{2} + 64 y^{2} - 84 x - 49 = 0

9 x^{2} + 4 y^{2} - 36 x - 24 y + 36 = 0

9 x^{2} + 25 y^{2} - 54 x - 100 y - 44 = 0

\frac{( x ^{2} - 4 x )}{4} + \frac{( y ^{2} - 6 y )}{9} = - 1

What is (x^2)/(15)+(y^2)/(64)=1 ?
The solution to (x^2)/(15)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=8