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rewrite the equation of the circle (x − 2)2 + y2 = 3 in general form.

x² + y² - 4x + 1 = 0

Step-by-step explanation:

The equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

Given

(x - 2)² + y² = 3 ← expand the squared factor

x² - 4x + 4 + y² = 3 ( subtract 3 from both sides )

x² + y² - 4x + 1 = 0 ← in general form

sine

step-by-step explanation:

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.