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Popular >

y^2-x^2=2

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

x^2-4y^2-4x+8y-16=0

x^{2} - 4 y^{2} - 4 x + 8 y - 16 = 0

6y^2-4x^2+xsqrt(2)+1=0

6 y^{2} - 4 x^{2} + x 2 + 1 = 0

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

(y^2)/9-(x^2)/(25)=1

\frac{y ^{2}}{9} - \frac{x ^{2}}{25} = 1

(x^2)/9-(y^2)/(49)=1

\frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1

Frequently Asked Questions (FAQ)

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