Cost Comparison of Widgets

A company produces two types of widgets, A and B. The cost to produce widget A is given by the linear function:

$$C_A(x) = 3x + 20$$

where $$x$$ is the number of widgets produced. The cost to produce widget B is described by the quadratic function:

$$C_B(x) = x^2 + 2x + 15$$

Your task is to determine the number of widgets for which the cost of producing widget A exceeds the cost of producing widget B.