What is 15x^2+10y^2=150 ?

The solution to 15x^2+10y^2=150 is Ellipse with (h,k)=(0,0),a=sqrt(10),b=sqrt(15)

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15x^2+10y^2=150

15 x^{2} + 10 y^{2} = 150

(h, k) = (0, 0), a = 10, b = 15

Solution steps

15 x^{2} + 10 y^{2} = 150

Rewrite

15 x^{2} + 10 y^{2} = 150

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 15 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 10, b = 15

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 15, a = 10

2 x^{2} + y^{2} - 4 x - 4 y = 0

25 x^{2} + y^{2} + 100 x + 4 y + 79 = 0

\frac{y ^{2}}{4} + z^{2} = 1

\frac{x ^{2}}{( 1.587 ) ^{2}} + \frac{y ^{2}}{1} = 1

\frac{4}{3} x^{2} + \frac{4}{3} y^{2} = (x - 2)^{2}

What is 15x^2+10y^2=150 ?
The solution to 15x^2+10y^2=150 is Ellipse with (h,k)=(0,0),a=sqrt(10),b=sqrt(15)