What is 4244-98y+324x-49y^2+81x^2=0 ?

The solution to 4244-98y+324x-49y^2+81x^2=0 is Hyperbola with (h,k)=(-2,-1),a=9,b=7

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4244-98y+324x-49y^2+81x^2=0

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

(h, k) = (- 2, - 1), a = 9, b = 7

Solution steps

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

Rewrite

4244 - 98 y + 324 x - 49 y^{2} + 81 x^{2} = 0

in the form of a standard hyperbola equation

\frac{( y - ( - 1 ) ) ^{2}}{9 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, - 1), a = 9, b = 7

- 16 x^{2} + 25 y^{2} + 64 x - 100 y - 364 = 0

5 x^{2} - 10 y^{2} - 10 = 0

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

\frac{( x - 5 ) ^{2}}{25} - \frac{( y - 5 ) ^{2}}{16} = 1

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

What is 4244-98y+324x-49y^2+81x^2=0 ?
The solution to 4244-98y+324x-49y^2+81x^2=0 is Hyperbola with (h,k)=(-2,-1),a=9,b=7