What is 49x^2-25y^2-686x-50y+2375=0 ?

The solution to 49x^2-25y^2-686x-50y+2375=0 is Hyperbola with (h,k)=(7,-1),a= 1/7 ,b= 1/5

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49x^2-25y^2-686x-50y+2375=0

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

(h, k) = (7, - 1), a = \frac{1}{7}, b = \frac{1}{5}

Solution steps

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

Rewrite

49 x^{2} - 25 y^{2} - 686 x - 50 y + 2375 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (7, - 1), a = \frac{1}{7}, b = \frac{1}{5}

\frac{( x - 3 ) ^{2}}{25} - \frac{( y + 1 ) ^{2}}{25} = 1

8 x^{2} - 2 y^{2} - 4 x - 6 y + 15 = 0

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

x^{2} - 4 y^{2} - 2 x - 40 y - 103 = 0

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

What is 49x^2-25y^2-686x-50y+2375=0 ?
The solution to 49x^2-25y^2-686x-50y+2375=0 is Hyperbola with (h,k)=(7,-1),a= 1/7 ,b= 1/5