What is 5x^2-y^2>= 11 ?

The solution to 5x^2-y^2>= 11 is Hyperbola with (h,k)=(0,0),a=sqrt(11/5),b=sqrt(11)

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5x^2-y^2>= 11

5 x^{2} - y^{2} \geq 11

(h, k) = (0, 0), a = \frac{11}{5}, b = 11

Solution steps

5 x^{2} - y^{2} \geq 11

Rewrite

5 x^{2} - y^{2} \geq 11

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{11}{5} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{11}{5}, b = 11

\frac{( y + 3 ) ^{2}}{64} - \frac{( x - 2 ) ^{2}}{81} = 1

x^{2} - y^{2} - 4 y = 1

x^{2} - 4 y^{2} - 10 x - 40 y - 100 = 0

3 x^{2} + 6 x = 0.3 y^{2} - 6 y

x^{2} - y^{2} = 45

What is 5x^2-y^2>= 11 ?
The solution to 5x^2-y^2>= 11 is Hyperbola with (h,k)=(0,0),a=sqrt(11/5),b=sqrt(11)