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robbiegfarmer
17.09.2021 •
Mathematics
Please help me with how to solve this equation by completing the square. The answer should be (2, -6) Equation: 5n^2+20n-60=0
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Ответ:
(2, -6)
Step-by-step explanation:
5n^2+20n-60
(5n+30)(n-2)
5n + 30 = 0
5n = -30
(5n = -30)/5
n = - 6
n - 2 = 0
n = 2
(2, -6)
Ответ:
16
Step-by-step explanation:
We must find integers x, y with the most amount of prime divisors, not necessarily distinct, such that x + 3y < 1,000.
Obviously, this is achieved when the divisor is the least prime 2. So, we must find integers n, m such that
since
, then n must be 9. For n=9 we find the greatest integer m such that
and we find m=7
and
,
are the numbers we are looking for and the sum of their length is 9+7 = 16.
So, 16 is the maximum possible sum of the length of x and the length of y.