пусть два целых числа х и (х + 1)
тогда
1. (х + 1)² - x² = 11
x² + 2x + 1 - x² = 11
2x = 10
x = 5
x + 1 = 6
6² - 5² = 36 - 25 = 11
2. х² - (x + 1)² = 11
x² - x² - 2x - 1 = 11
-2x = 12
x = -6
x + 1 = -5
(-6)² - (-5)² = 36 - 25 = 11
ответ -6 и -5 , 5 и 6
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пусть два целых числа х и (х + 1)
тогда
1. (х + 1)² - x² = 11
x² + 2x + 1 - x² = 11
2x = 10
x = 5
x + 1 = 6
6² - 5² = 36 - 25 = 11
2. х² - (x + 1)² = 11
x² - x² - 2x - 1 = 11
-2x = 12
x = -6
x + 1 = -5
(-6)² - (-5)² = 36 - 25 = 11
ответ -6 и -5 , 5 и 6