What is 9x^2+y^2-100=0 ?

The solution to 9x^2+y^2-100=0 is Ellipse with (h,k)=(0,0),a= 10/3 ,b=10

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9x^2+y^2-100=0

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

(h, k) = (0, 0), a = \frac{10}{3}, b = 10

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{10}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{10}{3}, 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 = \frac{10}{3}

What is 9x^2+y^2-100=0 ?
The solution to 9x^2+y^2-100=0 is Ellipse with (h,k)=(0,0),a= 10/3 ,b=10