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Popular >

y^2-4=9x^2

Solution

y^{2} - 4 = 9 x^{2}

Solution

(h, k) = (0, 0), a = 2, b = \frac{2}{3}

Solution steps

y^{2} - 4 = 9 x^{2}

Rewrite

y^{2} - 4 = 9 x^{2}

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = \frac{2}{3}

Popular Examples

(4-4x)^2-4(2k(x)+2)(k(x)-2)=0

(4 - 4 x)^{2} - 4 (2 k (x) + 2) (k (x) - 2) = 0

4x^2-y^2-32x-2y=-59

4 x^{2} - y^{2} - 32 x - 2 y = - 59

x^{2} - y^{2} = - 45

y^{2} = (x^{2} - 2 x)

4x^2-9y^2+8x+72y-203=0

4 x^{2} - 9 y^{2} + 8 x + 72 y - 203 = 0

Frequently Asked Questions (FAQ)

What is y^2-4=9x^2 ?
The solution to y^2-4=9x^2 is Hyperbola with (h,k)=(0,0),a=2,b= 2/3