What is 4y^2-9x^2+16y+18x-29=0 ?

The solution to 4y^2-9x^2+16y+18x-29=0 is Hyperbola with (h,k)=(1,-2),a=3,b=2

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4y^2-9x^2+16y+18x-29=0

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

(h, k) = (1, - 2), a = 3, b = 2

Solution steps

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

Rewrite

4 y^{2} - 9 x^{2} + 16 y + 18 x - 29 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 3, b = 2

4 x^{2} - y^{2} - 24 x - 8 y = 44

4 x^{2} - 9 y^{2} + 16 x + 18 y - 11 = 0

(16) x^{2} + (256) x - (361) y^{2} - 3610 y + (4273) = 0

x, x^{2} + 10 x + 25 = x + k (x)^{2}

x^{2} - y^{2} = 280

What is 4y^2-9x^2+16y+18x-29=0 ?
The solution to 4y^2-9x^2+16y+18x-29=0 is Hyperbola with (h,k)=(1,-2),a=3,b=2