What is (((x-6)^2))/((1))-(((y-5)^2))/((3))=1 ?

The solution to (((x-6)^2))/((1))-(((y-5)^2))/((3))=1 is Hyperbola with (h,k)=(6,5),a=1,b=sqrt(3)

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(((x-6)^2))/((1))-(((y-5)^2))/((3))=1

\frac{( ( x - 6 ) ^{2} )}{( 1 )} - \frac{( ( y - 5 ) ^{2} )}{( 3 )} = 1

(h, k) = (6, 5), a = 1, b = 3

Solution steps

\frac{( x - 6 ) ^{2}}{1} - \frac{( y - 5 ) ^{2}}{3} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{1} - \frac{( y - 5 ) ^{2}}{3} = 1

in the form of a standard hyperbola equation

\frac{( x - 6 ) ^{2}}{1 ^{2}} - \frac{( y - 5 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, 5), a = 1, b = 3

10 x^{2} + 7 y^{2} - 5 = 1

0.11 x^{2} + 0.25 y^{2} = 1

2 x^{2} + 3 y^{2} + 4 x = 1

3 x^{2} + 8 y^{2} + 12 x + 48 y + 60 = 0

16 x^{2} + 25 y^{2} + 32 x - 384 = 0

What is (((x-6)^2))/((1))-(((y-5)^2))/((3))=1 ?
The solution to (((x-6)^2))/((1))-(((y-5)^2))/((3))=1 is Hyperbola with (h,k)=(6,5),a=1,b=sqrt(3)