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C = x² + 5x + 30, find the number of units manufactured at a cost of $10,530​

Sagot :

Answer:

100 units.

Step-by-step explanation:

I am assuming that C is the cost.

You Can form the quadratic equation: 10530=x^2+5x+30. You put the left side to zero by subtracting 10530: x^2+5x+30-10530=0. You will get that x^2+5x-10500. You can use the quadratic formula or factoring. The factors that multiply to 10530 and add up to 5 is 105 and -100. You group: (x+105)(x-100)=0, you then use the zero-product property: x+105=0, x-100=0.

you get that x=100, -105. The number of units cant be negative, so x must be 100.

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