What is 8x^2-15y^2-120=0 ?

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

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8x^2-15y^2-120=0

8 x^{2} - 15 y^{2} - 120 = 0

(h, k) = (0, 0), a = 15, b = 22

Solution steps

8 x^{2} - 15 y^{2} - 120 = 0

Rewrite

8 x^{2} - 15 y^{2} - 120 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 22

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

9 (y + 3)^{2} - 1 (x + 2)^{2} = 15

\frac{y ^{2}}{64} - \frac{x ^{2}}{16} = 1

\frac{( x - 4 ) ^{2}}{16} - \frac{( y + 5 ) ^{2}}{25} = 1

4 x^{2} - 3 y^{2} + 5 y - 6 y + 2 x = 7

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