What is ((y+5)^2)/(100)-((x-4)^2)/(121)=1 ?

The solution to ((y+5)^2)/(100)-((x-4)^2)/(121)=1 is Hyperbola with (h,k)=(4,-5),a=10,b=11

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((y+5)^2)/(100)-((x-4)^2)/(121)=1

\frac{( y + 5 ) ^{2}}{100} - \frac{( x - 4 ) ^{2}}{121} = 1

(h, k) = (4, - 5), a = 10, b = 11

Solution steps

\frac{( y + 5 ) ^{2}}{100} - \frac{( x - 4 ) ^{2}}{121} = 1

Rewrite

\frac{( y + 5 ) ^{2}}{100} - \frac{( x - 4 ) ^{2}}{121} = 1

in the form of a standard hyperbola equation

\frac{( y - ( - 5 ) ) ^{2}}{1 0 ^{2}} - \frac{( x - 4 ) ^{2}}{1 1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (4, - 5), a = 10, b = 11

1 0^{2} + x^{2} = y^{2}

8 y^{2} - x^{2} - 16 y + 8 x - 16 = 0

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

x^{(2)} - y^{(2)} = 10 (x - y) + 1

\frac{x ^{2}}{2 0 ^{2}} - \frac{y ^{2}}{1 5 ^{2}} = 1

What is ((y+5)^2)/(100)-((x-4)^2)/(121)=1 ?
The solution to ((y+5)^2)/(100)-((x-4)^2)/(121)=1 is Hyperbola with (h,k)=(4,-5),a=10,b=11