What is (x-5)(x-1)=yy ?

The solution to (x-5)(x-1)=yy is Hyperbola with (h,k)=(3,0),a=2,b=2

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(x-5)(x-1)=yy

(x - 5) (x - 1) = yy

(h, k) = (3, 0), a = 2, b = 2

Solution steps

(x - 5) (x - 1) = yy

Rewrite

(x - 5) (x - 1) - yy = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{2 ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 0), a = 2, b = 2

\frac{( y + 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

9 x^{2} - 16 y^{2} + 36 x + 96 y - 252 = 0

x^{2} - 6 x - 2 y^{2} + 7 = 0

\frac{( x - 3 ) ^{2}}{16} - \frac{( y + 1 ) ^{2}}{9} = 1

(\frac{y}{100})^{2} - \frac{x ^{2}}{49} = 1

What is (x-5)(x-1)=yy ?
The solution to (x-5)(x-1)=yy is Hyperbola with (h,k)=(3,0),a=2,b=2