A company's Profit (in millions of dollars) can be represented by x^2-5x+6, where x is the number of years since the company has started. When did the company have a profit of $2 million?
Given that the profit is represented by: P(x)=x^2-5x+6 where x is time in years, the time when the profit was $2 million will be evaluated as follows: from: P(x)=x^2-5x+6 substitute P(x)=2 thus 2=x^2-5x+6 simplifying this we get: x^2-5x+6-2=0 x^2-5x+4=0 factoring the above we obtain: x^2-x-4x+4=0 x(x-1)-4(x-1)=0 (x-1)(x-4)=0 hence x=1 or x=4 Thus the company made $2 million at time x=1 year and x=4 years
