What is 3x^2-y^2<= 9 ?

The solution to 3x^2-y^2<= 9 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=3

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3x^2-y^2<= 9

3 x^{2} - y^{2} \leq 9

(h, k) = (0, 0), a = 3, b = 3

Solution steps

3 x^{2} - y^{2} \leq 9

Rewrite

3 x^{2} - y^{2} \leq 9

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 3

4 y^{2} - 49 x^{2} - 392 x + 16 y - 964 = 0

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

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

\frac{( y - 2 ) ^{2}}{16} - \frac{( x + 1 ) ^{2}}{144} = 1

16 x^{2} - 160 x - 16 y^{2} - 128 y - 112 = 0

What is 3x^2-y^2<= 9 ?
The solution to 3x^2-y^2<= 9 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=3