The Celsius temperature, C, of a chemical reaction increases and then decreases over time according to the formula C(t)=- +8t +93, where t represents the time in minutes. Use the Quadratic Formula to help

determine the amount of time, to the nearest tenth of a minute, it takes for the reaction to reach 110 degrees

Celsius.

See explanations below

Step-by-step explanation:

Given the quadratic formula that expresses the temperature of a chemical reaction

C(t)=-12t² +8t +93

Given that C(t) = 110°, we are to find the value of t

Substitute

110 = -12t² +8t +93

-12t² +8t +93-110 = 0

-12t² +8t -17 = 0

12t² -8t + 17 = 0

Using the general formula;

t = -(-8)±√(-8)²-4(12)(17)/2(12)

t = 8±√64-816/24

t = 8±√-752/24

Since the value of t will give a complex number, hence the time doesn't exist when the reaction reaches 110°C

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