What is 2x^{(2)}-2y^{(2)}-20x+16y+16=0 ?

The solution to 2x^{(2)}-2y^{(2)}-20x+16y+16=0 is Hyperbola with (h,k)=(5,4),a=1,b=1

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2x^{(2)}-2y^{(2)}-20x+16y+16=0

2 x^{(2)} - 2 y^{(2)} - 20 x + 16 y + 16 = 0

(h, k) = (5, 4), a = 1, b = 1

Solution steps

2 x^{2} - 2 y^{2} - 20 x + 16 y + 16 = 0

Rewrite

2 x^{2} - 2 y^{2} - 20 x + 16 y + 16 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (5, 4), a = 1, b = 1

x^{2} - 6 x - y^{2} - 2 y = 9

f (x) (f (x)) = x^{2} - x + 1

16 x^{2} - y^{2} = 64

3 x^{2} + 2 y + x = 2 y^{2} - y - x - 2

4 x^{2} - 9 y^{2} - 16 x - 36 y + 16 = 0

What is 2x^{(2)}-2y^{(2)}-20x+16y+16=0 ?
The solution to 2x^{(2)}-2y^{(2)}-20x+16y+16=0 is Hyperbola with (h,k)=(5,4),a=1,b=1