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Popular >

a^2-b^2=8

Solution

a^{2} - b^{2} = 8

Solution

(h, k) = (0, 0), a = 22, b = 22

Solution steps

a^{2} - b^{2} = 8

Rewrite

a^{2} - b^{2} = 8

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 2 2 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 2 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 22

Popular Examples

x^2-4y^2+2x-8y-19=0

x^{2} - 4 y^{2} + 2 x - 8 y - 19 = 0

x^2-y^2-8x+2y+14=0

x^{2} - y^{2} - 8 x + 2 y + 14 = 0

9x^2-y^2+54x+10y+55=0

9 x^{2} - y^{2} + 54 x + 10 y + 55 = 0

4x^{(2)}-25y^{(2)}+16x+50y-109=0

4 x^{(2)} - 25 y^{(2)} + 16 x + 50 y - 109 = 0

x^2+12=y^2+6x-2y

x^{2} + 12 = y^{2} + 6 x - 2 y

Frequently Asked Questions (FAQ)

What is a^2-b^2=8 ?
The solution to a^2-b^2=8 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=2sqrt(2)