What is 10x^2+6y^2-60=0 ?

The solution to 10x^2+6y^2-60=0 is Ellipse with (h,k)=(0,0),a=sqrt(6),b=sqrt(10)

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10x^2+6y^2-60=0

10 x^{2} + 6 y^{2} - 60 = 0

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

Solution steps

10 x^{2} + 6 y^{2} - 60 = 0

Rewrite

10 x^{2} + 6 y^{2} - 60 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

What is 10x^2+6y^2-60=0 ?
The solution to 10x^2+6y^2-60=0 is Ellipse with (h,k)=(0,0),a=sqrt(6),b=sqrt(10)