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A company's profit (in millions of dollars) can be represented by x^2-6x+12, where x is the number of years since the company started. When did the company have a profit of $4 million?

I got two years, but I wanted to check this against something. Thanks in advance!

User Jgivoni
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The function that models the profit of the company in million of dollars is:


P= x^(2) -6x+12

where x represents the number of years since the company started. We want to find when the profit of the company was $4 million. Setting P as 4 in above equation, we can find the value of x when the profit was $4 million.


4= x^(2) -6x+12 \\ \\ x^(2) -6x+8=0 \\ \\ x^(2) -2x-4x+8=0 \\ \\ x(x-2)-4(x-2)=0 \\ \\ (x-2)(x-4)=0 \\ \\ x=2, x=4

Thus, we can conclude that the profit of the company was $4 million in 2nd and 4th year
User Paolo Gdf
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