What is 10y^2-9x^2=144 ?

The solution to 10y^2-9x^2=144 is Hyperbola with (h,k)=(0,0),a=(6sqrt(2))/(sqrt(5)),b=4

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10y^2-9x^2=144

10 y^{2} - 9 x^{2} = 144

(h, k) = (0, 0), a = \frac{6 2}{5}, b = 4

Solution steps

10 y^{2} - 9 x^{2} = 144

Rewrite

10 y^{2} - 9 x^{2} = 144

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{6 2}{5} ) ^{2}} - \frac{( x - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{6 2}{5}, b = 4

10 x^{2} - 7 y^{2} - 30 x + 14 y = 5

25 x^{2} - 9 y^{2} + 100 x - 54 y + 10 = 0

y^{2} = x^{2} + 8

9 x^{2} + 36 = y^{2} + 36 x + 6 y

- 4 x^{2} + y^{2} = 36

What is 10y^2-9x^2=144 ?
The solution to 10y^2-9x^2=144 is Hyperbola with (h,k)=(0,0),a=(6sqrt(2))/(sqrt(5)),b=4