What is 4x^2-3y^2=11 ?

The solution to 4x^2-3y^2=11 is Hyperbola with (h,k)=(0,0),a=(sqrt(11))/2 ,b=sqrt(11/3)

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4x^2-3y^2=11

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

(h, k) = (0, 0), a = \frac{11}{2}, b = \frac{11}{3}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{11}{2}, b = \frac{11}{3}

a^{2} - b^{2} = 2018 - 2 a

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

\frac{x ^{2}}{100} - \frac{y ^{2}}{36} = 1

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

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

What is 4x^2-3y^2=11 ?
The solution to 4x^2-3y^2=11 is Hyperbola with (h,k)=(0,0),a=(sqrt(11))/2 ,b=sqrt(11/3)