What is x^2+5y^2=150 ?

The solution to x^2+5y^2=150 is Ellipse with (h,k)=(0,0),a=5sqrt(6),b=sqrt(30)

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x^2+5y^2=150

x^{2} + 5 y^{2} = 150

(h, k) = (0, 0), a = 56, b = 30

Solution steps

x^{2} + 5 y^{2} = 150

Rewrite

x^{2} + 5 y^{2} = 150

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 5 6 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 30 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 56, b = 30

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 56, b = 30

What is x^2+5y^2=150 ?
The solution to x^2+5y^2=150 is Ellipse with (h,k)=(0,0),a=5sqrt(6),b=sqrt(30)