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Popular >

a^2-b^2=12

Solution

a^{2} - b^{2} = 12

Solution

(h, k) = (0, 0), a = 23, b = 23

Solution steps

a^{2} - b^{2} = 12

Rewrite

a^{2} - b^{2} = 12

in the form of a standard hyperbola equation

\frac{( a - 0 ) ^{2}}{( 2 3 ) ^{2}} - \frac{( b - 0 ) ^{2}}{( 2 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 23, b = 23

Popular Examples

((x-3)^2)/(36)-((y-4)^2)/(81)=1

\frac{( x - 3 ) ^{2}}{36} - \frac{( y - 4 ) ^{2}}{81} = 1

x^2-2x-y^2+4y=7

x^{2} - 2 x - y^{2} + 4 y = 7

y^{2} = x^{2} - 8

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

4x^2-y^2+8x-2y+7=0

4 x^{2} - y^{2} + 8 x - 2 y + 7 = 0

Frequently Asked Questions (FAQ)

What is a^2-b^2=12 ?
The solution to a^2-b^2=12 is Hyperbola with (h,k)=(0,0),a=2sqrt(3),b=2sqrt(3)