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natajaeecarr
25.12.2020 •
Mathematics
Find the smallest positive integer that satisfies both of the following equations: x≡3(mod4) and x≡5(mod6).
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Ответ:
Step-by-step explanation:
x≡3(mod4) and x≡5(mod6)
=> x≡-1(mod4) and x≡-1(mod6)
Since LCM of 4 and 6 is 12,
=> x≡-1(mod12)
=> x≡11(mod12)
The smallest positive integer for x is 11.
Ответ:
11
Step-by-step explanation:
Because 4 and 6 aren't co prime we can't start the chinese remainder theorem
so first we check
because 4 = 2*2
and the other one
so now we have
but the mod 2 we don't need it
so now we have
for the first one we can say that
so we plug in that in the second one
we can say that
so for x
so if k=0
a solution is 11
we check if it works
so it works so the smallest solution is 11
Ответ:
The answer is circle
Step-by-step explanation: The explanation is that you can see by looking at the shape you can easily make a rectangle, etc but you can not make a circle :).