What is -9x^2+4y^2=144 ?

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

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-9x^2+4y^2=144

- 9 x^{2} + 4 y^{2} = 144

(h, k) = (0, 0), a = 6, b = 4

Solution steps

- 9 x^{2} + 4 y^{2} = 144

Rewrite

- 9 x^{2} + 4 y^{2} = 144

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 4

\frac{( x + 3 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{16} = 1

y^{2} = \frac{16 - x ^{2}}{- 4}

(\frac{x + 1}{36})^{2} - (\frac{y - 4}{64})^{2} = 1

\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 2 ) ^{2}}{64} = 1

4 x^{2} - 5 y^{2} - 36 y - 36 = 0

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