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I'm sorry I was away for a little bit, can you continue your explanation now?
Sure ma'am! No worries
Before we solve our problem we should make it into a quadratic equation first, so it becomes x^2 - 80x +1500=0
If we substitute 50 and 30 to our quadratic inequality earlier, both of them are false meaning both roots are not a solution.
The quadratic inequality that we should use to represent our problem is x^2 - 80x +1500<0
Since both roots are false we will then find the closest integers to the roots. In this case we will use 29,31,51
Then we use the quadratic formula and we should get 50 and 30.
When we substitute 31 into our quadratic inequality, the result would be true .
Because of these, we came up with this solution: (30<x>50)
When we substitute 29 into our quadratic inequality, the result would be false.
When we substitute 51 into our quadratic inequality, the result would be false.
Wow! What a brilliant solution, now we could solve our problem. Thanks to you!
Don't worry about it ma'am. It's no big deal.
Hmmm, what do you want to have as a reward?
It's not needed ma'am. It's my pleasure to help you and the company.
Oh no, I insist how about a dinner later?
Sure ma'am, I'll think about it.
Is she asking me out on a date? Oh no you should calm yourself she's your boss!
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