What is -2x^2-y^2=64-3x^2 ?

The solution to -2x^2-y^2=64-3x^2 is Hyperbola with (h,k)=(0,0),a=8,b=8

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-2x^2-y^2=64-3x^2

- 2 x^{2} - y^{2} = 64 - 3 x^{2}

(h, k) = (0, 0), a = 8, b = 8

Solution steps

- 2 x^{2} - y^{2} = 64 - 3 x^{2}

Rewrite

- 2 x^{2} - y^{2} - 64 + 3 x^{2} = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{8 ^{2}} - \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 8, b = 8

- x^{2} + 4 y^{2} - 2 x - 16 y + 11 = 0

y^{2} = x^{2} + 7

3 x^{2} - 5 y^{2} = - 2

1 = 2 x^{2} - y^{2}

64 y^{2} - 25 x^{2} = 1600

What is -2x^2-y^2=64-3x^2 ?
The solution to -2x^2-y^2=64-3x^2 is Hyperbola with (h,k)=(0,0),a=8,b=8