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Popular >

x^2-9=2y^2

Solution

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

Solution

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

Solution steps

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

Rewrite

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

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

4x^2-24x-25y^2+250y-489=0

4 x^{2} - 24 x - 25 y^{2} + 250 y - 489 = 0

(y^2)/(10^2)-(x^2)/(24^2)=1

\frac{y ^{2}}{1 0 ^{2}} - \frac{x ^{2}}{2 4 ^{2}} = 1

4x^2-y^2+24x+40=0

4 x^{2} - y^{2} + 24 x + 40 = 0

4x^2-y^2+16x+2y=21

4 x^{2} - y^{2} + 16 x + 2 y = 21

9x^2-4y^2+36x+40y-208=0

9 x^{2} - 4 y^{2} + 36 x + 40 y - 208 = 0

Frequently Asked Questions (FAQ)

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