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Popular >

y^2-z^2=16

Solution

y^{2} - z^{2} = 16

Solution

(h, k) = (0, 0), a = 4, b = 4

Solution steps

y^{2} - z^{2} = 16

Rewrite

y^{2} - z^{2} = 16

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{4 ^{2}} - \frac{( z - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 4

Popular Examples

y^{2} = x^{2} + 169

((x-3)^2)/9-((y-1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{4} = 1

((y-4)^2)/(28)-((x+1)^2)/(21)=1

\frac{( y - 4 ) ^{2}}{28} - \frac{( x + 1 ) ^{2}}{21} = 1

((y+9)^2)/(92)-((x+8)^2)/(36)=17

\frac{( y + 9 ) ^{2}}{92} - \frac{( x + 8 ) ^{2}}{36} = 17

(x^2)/6-(y^2)/8 =1

\frac{x ^{2}}{6} - \frac{y ^{2}}{8} = 1

Frequently Asked Questions (FAQ)

What is y^2-z^2=16 ?
The solution to y^2-z^2=16 is Hyperbola with (h,k)=(0,0),a=4,b=4