What is 5x^2+5y^2=125 ?

The solution to 5x^2+5y^2=125 is Circle with (a,b)=(0,0),r=5

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5x^2+5y^2=125

5 x^{2} + 5 y^{2} = 125

(a, b) = (0, 0), r = 5

Solution steps

5 x^{2} + 5 y^{2} = 125

Rewrite

5 x^{2} + 5 y^{2} = 125

in the form of the standard circle equation

(x - 0)^{2} + (y - 0)^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (0, 0), r = 5

x^{2} + y^{2} - 14 x + 2 y = - 14

4 x^{2} + 4 y^{2} - 16 = 0

4 x^{2} + 4 y^{2} + 12 x + 16 y - 11 = 0

x^{2} = 16 - y^{2}

2 x^{2} + 2 y^{2} - 4 x + 12 y - 18 = 0

What is 5x^2+5y^2=125 ?
The solution to 5x^2+5y^2=125 is Circle with (a,b)=(0,0),r=5