What is y^2-x^2+y-x-14=0 ?

The solution to y^2-x^2+y-x-14=0 is Hyperbola with (h,k)=(-1/2 ,-1/2),a=sqrt(14),b=sqrt(14)

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y^2-x^2+y-x-14=0

y^{2} - x^{2} + y - x - 14 = 0

(h, k) = (- \frac{1}{2}, - \frac{1}{2}), a = 14, b = 14

Solution steps

y^{2} - x^{2} + y - x - 14 = 0

Rewrite

y^{2} - x^{2} + y - x - 14 = 0

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{1}{2} ) ) ^{2}}{( 14 ) ^{2}} - \frac{( x - ( - \frac{1}{2} ) ) ^{2}}{( 14 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- \frac{1}{2}, - \frac{1}{2}), a = 14, b = 14

9 x^{2} - 4 y^{2} - 90 x - 32 y + 125 = 0

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x^{2} - 4 y^{2} - 18 x - 16 y - 35 = 0

\frac{y ^{2} + 3}{4} - \frac{x ^{2} - 1}{5} = 1

What is y^2-x^2+y-x-14=0 ?
The solution to y^2-x^2+y-x-14=0 is Hyperbola with (h,k)=(-1/2 ,-1/2),a=sqrt(14),b=sqrt(14)