What is 8x^2-3y^2=120 ?

The solution to 8x^2-3y^2=120 is Hyperbola with (h,k)=(0,0),a=sqrt(15),b=2sqrt(10)

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8x^2-3y^2=120

8 x^{2} - 3 y^{2} = 120

(h, k) = (0, 0), a = 15, b = 210

Solution steps

8 x^{2} - 3 y^{2} = 120

Rewrite

8 x^{2} - 3 y^{2} = 120

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 15 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 10 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 210

5 y^{2} - 16 x^{2} + 400 = 0

9 x^{2} - 4 y^{2} + 54 x + 8 y + 41 = 0

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{16} = 1

2 x^{2} - 2 y^{2} + 3 x - 2 y - 43 = 0

\frac{30}{x + y} + \frac{54}{x - y} = 8

What is 8x^2-3y^2=120 ?
The solution to 8x^2-3y^2=120 is Hyperbola with (h,k)=(0,0),a=sqrt(15),b=2sqrt(10)