What is ((x-1)^2)/9-(y^2)/4 =1 ?

The solution to ((x-1)^2)/9-(y^2)/4 =1 is Hyperbola with (h,k)=(1,0),a=3,b=2

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((x-1)^2)/9-(y^2)/4 =1

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

(h, k) = (1, 0), a = 3, b = 2

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, 0), a = 3, b = 2

a^{2} - b^{2} = 14

a^{2} - b^{2} = 42

5 y^{2} - 50 y + 44 = 9 x^{2} - 36 x

x, h (x)^{2} = 42 + (7 x)^{2}

a^{2} - b^{2} = 150

What is ((x-1)^2)/9-(y^2)/4 =1 ?
The solution to ((x-1)^2)/9-(y^2)/4 =1 is Hyperbola with (h,k)=(1,0),a=3,b=2