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

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

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

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

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

Solution steps

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

Rewrite

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

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

- y^{2} + z^{2} = 1

4 y^{2} - x^{2} + 40 y - 4 x + 60 = 0

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

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

y^{2} - 25 x^{2} + 8 y - 9 = 0

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