What is 2x^2-6x+2y^2+2y=45 ?

The solution to 2x^2-6x+2y^2+2y=45 is Circle with (a,b)=(3/2 ,-1/2),r=5

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2x^2-6x+2y^2+2y=45

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

(a, b) = (\frac{3}{2}, - \frac{1}{2}), r = 5

Solution steps

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

Rewrite

2 x^{2} - 6 x + 2 y^{2} + 2 y = 45

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (\frac{3}{2}, - \frac{1}{2}), r = 5

x^{2} - y^{2} = 6

f (x) = x^{2} + 4 x + 1

\frac{x ^{2}}{9} - \frac{y ^{2}}{25} = 1

x - 2 = \frac{1}{8} (y + 1)^{2}

y = 2 x^{2}

What is 2x^2-6x+2y^2+2y=45 ?
The solution to 2x^2-6x+2y^2+2y=45 is Circle with (a,b)=(3/2 ,-1/2),r=5