What is (x^2-y^2)/(11*2)=4 ?

The solution to (x^2-y^2)/(11*2)=4 is Hyperbola with (h,k)=(0,0),a=2sqrt(22),b=2sqrt(22)

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(x^2-y^2)/(11*2)=4

\frac{x ^{2} - y ^{2}}{11 \cdot 2} = 4

(h, k) = (0, 0), a = 222, b = 222

Solution steps

\frac{x ^{2} - y ^{2}}{11 \cdot 2} = 4

Rewrite

\frac{x ^{2} - y ^{2}}{11 \cdot 2} = 4

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 22 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 22 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 222, b = 222

y^{2} - (x + 1)^{2} = 3

y \frac{y}{x} + 1 = x

\frac{( x - 1 ) ^{2}}{25} - \frac{( y + 6 ) ^{2}}{49} = 1

\frac{( y - 1 ) ^{2}}{9} - \frac{( x - 1 ) ^{2}}{4} = 1

36 x^{2} - 9 y^{2} - 324 = 0

What is (x^2-y^2)/(11*2)=4 ?
The solution to (x^2-y^2)/(11*2)=4 is Hyperbola with (h,k)=(0,0),a=2sqrt(22),b=2sqrt(22)