What is 12x^2=336-7y^2 ?

The solution to 12x^2=336-7y^2 is Ellipse with (h,k)=(0,0),a=2sqrt(7),b=4sqrt(3)

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12x^2=336-7y^2

12 x^{2} = 336 - 7 y^{2}

(h, k) = (0, 0), a = 27, b = 43

Solution steps

12 x^{2} = 336 - 7 y^{2}

Rewrite

12 x^{2} = 336 - 7 y^{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 7 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 4 3 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 27, b = 43

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 43, a = 27

What is 12x^2=336-7y^2 ?
The solution to 12x^2=336-7y^2 is Ellipse with (h,k)=(0,0),a=2sqrt(7),b=4sqrt(3)