What is 9x^2-4y^2-90x-32y=-305 ?

The solution to 9x^2-4y^2-90x-32y=-305 is Hyperbola with (h,k)=(5,-4),a=6,b=4

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9x^2-4y^2-90x-32y=-305

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

(h, k) = (5, - 4), a = 6, b = 4

Solution steps

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

Rewrite

9 x^{2} - 4 y^{2} - 90 x - 32 y = - 305

in the form of a standard hyperbola equation

\frac{( y - ( - 4 ) ) ^{2}}{6 ^{2}} - \frac{( x - 5 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 4), a = 6, b = 4

36 x^{2} + 288 x + 64 y^{2} - 256 y = 1472

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

y^{2} - 4 y - 8 x - 12 = 0

f (x) = x^{2} - 5 x

3 x^{2} + 2 y = 26

What is 9x^2-4y^2-90x-32y=-305 ?
The solution to 9x^2-4y^2-90x-32y=-305 is Hyperbola with (h,k)=(5,-4),a=6,b=4