What is x^2+(y^2)/(12)=1 ?

The solution to x^2+(y^2)/(12)=1 is Ellipse with (h,k)=(0,0),a=1,b=2sqrt(3)

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x^2+(y^2)/(12)=1

x^{2} + \frac{y ^{2}}{12} = 1

(h, k) = (0, 0), a = 1, b = 23

Solution steps

x^{2} + \frac{y ^{2}}{12} = 1

Rewrite

x^{2} + \frac{y ^{2}}{12} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 23

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 23, a = 1

25 X^{2} + 4 Y^{2} - 250 X - 16 Y + 541 = 0

(\frac{x ^{2}}{169}) + (\frac{y ^{2}}{144}) = 1

- 8 y^{2} - 10 y + 72 = 9 x^{2}

Y^{2} + 2 X^{2} - 2 Y + 4 X - 6 = 0

8 x^{2} + 8 y^{2} + 16 y = 0

What is x^2+(y^2)/(12)=1 ?
The solution to x^2+(y^2)/(12)=1 is Ellipse with (h,k)=(0,0),a=1,b=2sqrt(3)