What is (x^2)/(2+y^2)=1 ?

The solution to (x^2)/(2+y^2)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=sqrt(2)

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(x^2)/(2+y^2)=1

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

(h, k) = (0, 0), a = 2, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 2

25 x^{2} + 100 x - 4 y^{2} - 16 y - 16 = 0

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{2} = 1

x^{2} - y^{2} = 5 y

x^{2} - y^{2} = 56

3 x^{2} - 2 y^{2} + 2 x - 3 y + 5 = 0

What is (x^2)/(2+y^2)=1 ?
The solution to (x^2)/(2+y^2)=1 is Hyperbola with (h,k)=(0,0),a=sqrt(2),b=sqrt(2)