What is 50=30-13x+5y+(x^2)/2+(y^2)/2 ?

The solution to 50=30-13x+5y+(x^2)/2+(y^2)/2 is Circle with (a,b)=(13,-5),r=3sqrt(26)

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50=30-13x+5y+(x^2)/2+(y^2)/2

50 = 30 - 13 x + 5 y + \frac{x ^{2}}{2} + \frac{y ^{2}}{2}

(a, b) = (13, - 5), r = 326

Solution steps

50 = 30 - 13 x + 5 y + \frac{x ^{2}}{2} + \frac{y ^{2}}{2}

Rewrite

50 = 30 - 13 x + 5 y + \frac{x ^{2}}{2} + \frac{y ^{2}}{2}

in the form of the standard circle equation

(x - 13)^{2} + (y - (- 5))^{2} = (326)^{2}

Therefore the circle properties are:

(a, b) = (13, - 5), r = 326

x^{2} + y^{2} = 10 - x^{2} - y^{2}

x^{2} + y^{2} - 12 y = - 32

x^{2} + (y - 1)^{2} \leq 25

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

x^{2} + y^{2} + 6 x + 8 y + 16 = 0

What is 50=30-13x+5y+(x^2)/2+(y^2)/2 ?
The solution to 50=30-13x+5y+(x^2)/2+(y^2)/2 is Circle with (a,b)=(13,-5),r=3sqrt(26)