What is 9x^2-16y^2-126x+160y-103=0 ?

The solution to 9x^2-16y^2-126x+160y-103=0 is Hyperbola with (h,k)=(7,5),a=4,b=3

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9x^2-16y^2-126x+160y-103=0

9 x^{2} - 16 y^{2} - 126 x + 160 y - 103 = 0

(h, k) = (7, 5), a = 4, b = 3

Solution steps

9 x^{2} - 16 y^{2} - 126 x + 160 y - 103 = 0

Rewrite

9 x^{2} - 16 y^{2} - 126 x + 160 y - 103 = 0

in the form of a standard hyperbola equation

\frac{( x - 7 ) ^{2}}{4 ^{2}} - \frac{( y - 5 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (7, 5), a = 4, b = 3

4 x^{2} - 25 y^{2} - 4 x + 10 y - 100 = 0

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

2 x^{2} - 4 y^{2} = 16

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

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

What is 9x^2-16y^2-126x+160y-103=0 ?
The solution to 9x^2-16y^2-126x+160y-103=0 is Hyperbola with (h,k)=(7,5),a=4,b=3