Question

Complete the square to rewrite the following equation. Identify the center and radius of the circle. You must show all work and calculations
x2 + 4x + y2 − 6y = −4

Answer 1

The centre and radius of the equation are (-2, 3) and 3 units respectively

Equation of a circle

The standard equation of a circle is expressed as;

x^2+y^2+2gx+2fy+C = 0

Given the equation

(x^2 + 4x) + (y^2 − 6y) = −4

Complete the squares

(x^2+4x+4)-4+(y^2-6y+9)-9 = -4

(x+2)^2+(y-3)^2=-4+13

(x+2)^2+(y-3)^2 = 9

(x+2)^2+(y-3)^2 = 3^2

Hence the centre and radius of the equation are (-2, 3) and 3 units respectively

Learn more on equation of circle here: brainly.com/question/1559324

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