Please help solve this completly

[MatQuestion]

Hi there. New member here, I hope someone can help with this problem.


The president of a company producing water pumps has gathered data that suggests that the average cost in dollars of producing x pumps will be
C(x)=x^2-21x+100.Determine the number of pumps that the company needs to produce in order to have an average cost to 28$ per pump.


Can't factor It what to do?

 

[stapel]

The president of a company producing water pumps has gathered data that suggests that the average cost in dollars of producing x pumps will be C(x)=x^2-21x+100.Determine the number of pumps that the company needs to produce in order to have an average cost to 28$ per pump.

Can't factor It what to do?

They've given you a formula for the cost C (in dollars) in terms of the quantity x. You are then given a cost C (in dollars) and asked to find the quantity x. So try plugging the given information into the given formula, and solving for the specified value. Use whichever method you prefer for solving the quadratic equation, such as the Quadratic Formula.