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High school math problem: the equation of circle ~ the steps are a little more detailed.
Solution: ∵ The center of the circle is on the positive semi-axis of the X axis.

∴b=0

Let the equation of a circle be (x-a). +y? =r? (where a > 0)

Circumscribe with a circle m

∴|a- 1|= 1+r (the center of circle m is (1, 0) and the radius is 1, so the distance between two centers is equal to the sum of the radii of two circles).

∫ The straight line x+√3y=0 is tangent.

∴d=|a|/2=r,a=4 r=2。

The equation of circle c is (x-4)? +y? =4