What is 3x^2-y^2=11 ?

The solution to 3x^2-y^2=11 is Hyperbola with (h,k)=(0,0),a=sqrt(11/3),b=sqrt(11)

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3x^2-y^2=11

3 x^{2} - y^{2} = 11

(h, k) = (0, 0), a = \frac{11}{3}, b = 11

Solution steps

3 x^{2} - y^{2} = 11

Rewrite

3 x^{2} - y^{2} = 11

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{11}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{11}{3}, b = 11

9 x^{2} + 16 y^{2} = 144

x^{2} + y^{2} = 10

x^{2} + \frac{y ^{2}}{25} = 1

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

What is 3x^2-y^2=11 ?
The solution to 3x^2-y^2=11 is Hyperbola with (h,k)=(0,0),a=sqrt(11/3),b=sqrt(11)