Find the center of the circle whose equation is 3x2 + 3y2 = 75.

Answer: The center is at the origin (0,0) with radius 5

Step 1

The equation of the circle is

3x² + 3y² = 75

find the factor and compress

3 (x² + y²) = 75

divide by 3 through

x² + y² = 25

x² + y² = ±√25

x² + y² = 5

The circle has its center at the origin (0, 0)