samy14
14.02.2021 •
Mathematics
The product of two consecutive odd natural numbers is 1 less than 6 times their sum. Find the numbers.
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Ответ:
11 ; 13
Step-by-step explanation:
Let the numbers be :
x and x + 2
x * (x + 2) = 6(x + x + 2) - 1
x² + 2x = 6(2x + 2) - 1
x² + 2x = 12x + 12 - 1
x² + 2x = 12x + 11
x² + 2x - 12x - 11 = 0
x² - 10x + 11 = 0
x² - 11x + x + 11 = 0
x(x - 11) + 1(x - 11) = 0
(x - 11) = 0 or (x + 1) = 0
x = 11 or x = - 1
X cannot be negative
x = 11
x + 2 = 11 +2 = 13
Ответ:
Step-by-step explanation:
P(green ) = =
Without replacement the total number of marbles = 98
P(red) = =
P(green and red ) = × =