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amandasantiago2001
13.02.2021 •
Mathematics
Find two consecutive ODD integers such that: The square of the larger is 120 more than the square of the smaller
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Ответ:
See explanation
Step-by-step explanation:
Le the number be x and x+2
The information given can be formed into and equation as:
(x + 2)² = x² + 120
(x + 2)(x + 2) = x² + 120
x² + 2x + 2x + 4 = x² + 120
Collect like terms
x² - x² + 2x + 2x = 120 - 4
4x = 116
x = 116/4
x = 29
The smallest number is 29
The larger number is x + 2 = 29 + 2 = 31
Ответ: