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i need help with a math problem

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Determine the base of the number, explain me the process ;_;!!!!!

x2 − 11x + 22 = 0

x=3 x=6
>>
>>7807896
There are literally thousands of primary school tutors out there, anon. Out of every place, you chose here, and worst of all didn't even read the rules.
>>
>>7807896
Base 8.

You can confirm by plugging 3 into the equation. You will get -2. So obviously, your base is 2 off to the left. I was of course, doing it in base 10 so 2 to the left of 10 is 8.

However, I never did a problem like this so to not end up like an idiot, I did confirm it using my calculator that can calculate in different bases.
>>
base 8
>>
well i have this but now i dont know what to do :c

x2 − 11x + 22 = (x − 3) (x − 6)

x2 − (b+1)x + (2b+2) = (x − 3) (x − 6)
>>
https://youtu.be/3B0TqabK2a8?t=17m16s
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