What is 9x^2-16y^2-18x+32y-151=0 ?

The solution to 9x^2-16y^2-18x+32y-151=0 is Hyperbola with (h,k)=(1,1),a=4,b=3

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9x^2-16y^2-18x+32y-151=0

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

(h, k) = (1, 1), a = 4, b = 3

Solution steps

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

Rewrite

9 x^{2} - 16 y^{2} - 18 x + 32 y - 151 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 1), a = 4, b = 3

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

8 x^{2} - 5 y^{2} + 10 x + 4 = 0

2 X^{2} - 5 Y^{2} = 52

36 x^{2} - 4 y^{2} - 144 = 0

x^{2} - y^{2} + 6 x + 8 y - 75 = 0

What is 9x^2-16y^2-18x+32y-151=0 ?
The solution to 9x^2-16y^2-18x+32y-151=0 is Hyperbola with (h,k)=(1,1),a=4,b=3