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Popular >

x^2-1=y^2

Solution

x^{2} - 1 = y^{2}

Solution

(h, k) = (0, 0), a = 1, b = 1

Solution steps

x^{2} - 1 = y^{2}

Rewrite

x^{2} - 1 = y^{2}

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1, b = 1

Popular Examples

-9x^2+16y^2-36x-160y+220=0

- 9 x^{2} + 16 y^{2} - 36 x - 160 y + 220 = 0

9y^2-16x^2-54y-32x-79=0

9 y^{2} - 16 x^{2} - 54 y - 32 x - 79 = 0

(40)/(x+y)+2/(x-y)=5

\frac{40}{x + y} + \frac{2}{x - y} = 5

((y-5)^2)/(15)-((x+4)^2)/(49)=1

\frac{( y - 5 ) ^{2}}{15} - \frac{( x + 4 ) ^{2}}{49} = 1

y^2-4x^2-24x-32=0

y^{2} - 4 x^{2} - 24 x - 32 = 0

Frequently Asked Questions (FAQ)

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