What is 4x^2-6y^2=24 ?

The solution to 4x^2-6y^2=24 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=2

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4x^2-6y^2=24

4 x^{2} - 6 y^{2} = 24

(h, k) = (0, 0), a = 6, b = 2

Solution steps

4 x^{2} - 6 y^{2} = 24

Rewrite

4 x^{2} - 6 y^{2} = 24

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 2

9 x^{2} - 2 y^{2} = 18

7^{2} + b^{2} = (c + 1)^{2}

- 16 x^{2} + 9 y^{2} - 144 = 0

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

4 x^{2} - y^{2} - 8 x + 6 y - 4 = 0

What is 4x^2-6y^2=24 ?
The solution to 4x^2-6y^2=24 is Hyperbola with (h,k)=(0,0),a=sqrt(6),b=2