notcool69 notcool69
  • 12-01-2022
  • Mathematics
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The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers

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26moweryp
26moweryp 26moweryp
  • 12-01-2022

Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

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