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Popular >

4x^2-y^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

16 x^{2} - 9 y^{2} = 1

x^{2} - y^{2} - 6 x = 7

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

((x+1)^2)/9-((y-4)^2)/(49)=1

\frac{( x + 1 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{49} = 1

((x+2)^2)/9-((y-3)^2)/(16)=1

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

Frequently Asked Questions (FAQ)

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