What is 15x^2+9y^2=225 ?

The solution to 15x^2+9y^2=225 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=5

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15x^2+9y^2=225

15 x^{2} + 9 y^{2} = 225

(h, k) = (0, 0), a = 15, b = 5

Solution steps

15 x^{2} + 9 y^{2} = 225

Rewrite

15 x^{2} + 9 y^{2} = 225

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 15, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 15

4 x^{2} + y^{2} > 1

y + x - 3 = 3 y^{2} + 2 x^{2}

4 (x - 1)^{2} + y^{2} = 36

3 (3 x^{(2)} + 9 y^{(2)} - 2 x - 36) = - 82

\frac{[ ( x - 1 ) ^{2} ]}{25} + \frac{[ ( y + 3 ) ^{2} ]}{9} = 1

What is 15x^2+9y^2=225 ?
The solution to 15x^2+9y^2=225 is Ellipse with (h,k)=(0,0),a=sqrt(15),b=5