Question

Bob's Skate Shop had a profit of $3,563 during the month of August. The company models its profit using P=x^2+10x-12

, where x is the number of skateboards the company sells. How many skateboards did the company sell during the month of August? A. 50 B. 55 C. 60 D. 75

Answer 1

`x^2+10x-12 =3563 \\ x^2+10x-12 -3563=0 \\ x^2+10x-3575=0 \\ D=b^2-4ac=10^2-4*1*(-3575)=100+14300=14400 \\ x_(1,2)= (-bб √(D) )/(2a)= (-10б √(14400) )/(2)= (-10б 120 )/(2) \\ x_1= -65 \ \ \ \O \\ x_2=55`

The company sold 55 skateboards.