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Popular >

4x^2-z^2=1

Solution

4 x^{2} - z^{2} = 1

Solution

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Solution steps

4 x^{2} - z^{2} = 1

Rewrite

4 x^{2} - z^{2} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Popular Examples

((y+2)^2)/(25)-((x-10)^2)/(36)=1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 10 ) ^{2}}{36} = 1

((y-3)^2}{16}-\frac{(x+4)^2)/9 =1

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

2x^2-2y=2y^2+2y+2x-1

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

((x-8)/3)^2-((y+3)/4)^2=1

(\frac{x - 8}{3})^{2} - (\frac{y + 3}{4})^{2} = 1

(y^2)/(20)-x^2=1

\frac{y ^{2}}{20} - x^{2} = 1

Frequently Asked Questions (FAQ)

What is 4x^2-z^2=1 ?
The solution to 4x^2-z^2=1 is Hyperbola with (h,k)=(0,0),a= 1/2 ,b=1