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Popular >

y^2-4x^2<1

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

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

[f(x)]^2=4x^2-x+4

[f (x)]^{2} = 4 x^{2} - x + 4

(x^2)/(81)-(y^2)/(144)=1

\frac{x ^{2}}{81} - \frac{y ^{2}}{144} = 1

x^{2} - y^{2} - 11 = 5

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

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

Frequently Asked Questions (FAQ)

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