What is 9x^{{2}}-4y^{{2}}=36 ?

The solution to 9x^{{2}}-4y^{{2}}=36 is Hyperbola with (h,k)=(0,0),a=2,b=3

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9x^{{2}}-4y^{{2}}=36

9 x^{{2}} - 4 y^{{2}} = 36

(h, k) = (0, 0), a = 2, b = 3

Solution steps

9 x^{{2}} - 4 y^{{2}} = 36

Rewrite

9 x^{{2}} - 4 y^{{2}} = 36

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 3

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

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

4 x^{2} + 24 x - 9 y^{2} + 54 y - 81 = 0

4 x^{2} - 2 y^{2} - 4 = 0

y^{2} - 4 x^{2} - 16 x - 2 y - 19 = 0

What is 9x^{{2}}-4y^{{2}}=36 ?
The solution to 9x^{{2}}-4y^{{2}}=36 is Hyperbola with (h,k)=(0,0),a=2,b=3