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Popular >

x^2-4y^2=9

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

16y^2-9x^2+54x+64y-161=0

16 y^{2} - 9 x^{2} + 54 x + 64 y - 161 = 0

9 x^{2} - 4 y^{2} - 36 > 0

16x^2-9y^2-256y+180x-452=0

16 x^{2} - 9 y^{2} - 256 y + 180 x - 452 = 0

((x-2)^2)/4-((y+1)^2)/(25)=1

\frac{( x - 2 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{25} = 1

11x^2-25y^2+22x+250y-889=0

11 x^{2} - 25 y^{2} + 22 x + 250 y - 889 = 0

Frequently Asked Questions (FAQ)

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