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Popular >

x^2-y^2=12

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 3 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

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

Popular Examples

x^{2} - y^{2} = 17

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

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

y^{2} - y - x^{2} = 0

((x-7)^2)/(64)-((y-6)^2)/(36)=1

\frac{( x - 7 ) ^{2}}{64} - \frac{( y - 6 ) ^{2}}{36} = 1

(y^2)/(144)-(x^2)/(25)=1

\frac{y ^{2}}{144} - \frac{x ^{2}}{25} = 1

Frequently Asked Questions (FAQ)

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