What is 4y^2-9x^2-36x+8y=0 ?

The solution to 4y^2-9x^2-36x+8y=0 is Hyperbola with (h,k)=(-2,-1),a=(4sqrt(2))/3 ,b=2sqrt(2)

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4y^2-9x^2-36x+8y=0

4 y^{2} - 9 x^{2} - 36 x + 8 y = 0

(h, k) = (- 2, - 1), a = \frac{4 2}{3}, b = 22

Solution steps

4 y^{2} - 9 x^{2} - 36 x + 8 y = 0

Rewrite

4 y^{2} - 9 x^{2} - 36 x + 8 y = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{( \frac{4 2}{3} ) ^{2}} - \frac{( y - ( - 1 ) ) ^{2}}{( 2 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, - 1), a = \frac{4 2}{3}, b = 22

16.99 y^{2} = 32 + 15.93 x^{2}

25 x^{2} - 200 x - 9 y^{2} + 36 y = 139

\frac{( y - 5 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{4} = 1

- 4 x^{2} + 56 x + y^{2} - 188 = 0

(\frac{y - 1}{4})^{2} - (\frac{x - 3}{9})^{2} = 1

What is 4y^2-9x^2-36x+8y=0 ?
The solution to 4y^2-9x^2-36x+8y=0 is Hyperbola with (h,k)=(-2,-1),a=(4sqrt(2))/3 ,b=2sqrt(2)