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Popular >

X^2-4=Y^2

Solution

X^{2} - 4 = Y^{2}

Solution

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

Solution steps

X^{2} - 4 = Y^{2}

Rewrite

X^{2} - 4 = Y^{2}

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

Popular Examples

9x^2-4y^2-18x-16y-11=0

9 x^{2} - 4 y^{2} - 18 x - 16 y - 11 = 0

x^2-y^2-2x-6y-12>0

x^{2} - y^{2} - 2 x - 6 y - 12 > 0

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

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

16x^2-y^2-96x-6y+119=0

16 x^{2} - y^{2} - 96 x - 6 y + 119 = 0

(x^2)/(40)-(y^2)/(120)=1

\frac{x ^{2}}{40} - \frac{y ^{2}}{120} = 1

Frequently Asked Questions (FAQ)

What is X^2-4=Y^2 ?
The solution to X^2-4=Y^2 is Hyperbola with (h,k)=(0,0),a=2,b=2