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

The solution to y^2=(6/5)^2+(2-x)^2 is Hyperbola with (h,k)=(2,0),a= 6/5 ,b= 6/5

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y^2=(6/5)^2+(2-x)^2

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

(h, k) = (2, 0), a = \frac{6}{5}, b = \frac{6}{5}

Solution steps

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

Rewrite

y^{2} - (\frac{6}{5})^{2} - (2 - x)^{2} = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{6}{5} ) ^{2}} - \frac{( x - 2 ) ^{2}}{( \frac{6}{5} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = \frac{6}{5}, b = \frac{6}{5}

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

y (y + 2) = x^{2}

x^{2} + 1 x + y^{2} - 2 y^{2} = 25

10 y^{2} - 25 x^{2} = 400

(a + b) (a - b) = 3168

What is y^2=(6/5)^2+(2-x)^2 ?
The solution to y^2=(6/5)^2+(2-x)^2 is Hyperbola with (h,k)=(2,0),a= 6/5 ,b= 6/5