What is 8x^2-15y^2=24 ?

The solution to 8x^2-15y^2=24 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=(2sqrt(2))/(sqrt(5))

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8x^2-15y^2=24

8 x^{2} - 15 y^{2} = 24

(h, k) = (0, 0), a = 3, b = \frac{2 2}{5}

Solution steps

8 x^{2} - 15 y^{2} = 24

Rewrite

8 x^{2} - 15 y^{2} = 24

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{2 2}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = \frac{2 2}{5}

4 x^{2} - 9 y^{2} - 8 x + 36 y + 4 = 0

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

x^{2} - 4 y^{2} = 25

x^{2} - 4 y^{2} = 37

16 - x^{2} + y^{2} \geq 0

What is 8x^2-15y^2=24 ?
The solution to 8x^2-15y^2=24 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=(2sqrt(2))/(sqrt(5))