ikang24601 ikang24601
  • 26-02-2020
  • Mathematics
contestada

Find the number of pairs (a,b) of integers such that
a+2/a+5=b/3

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sqdancefan
sqdancefan sqdancefan
  • 28-02-2020

Answer:

  6

Step-by-step explanation:

The expression can be rearranged to ...

  b = 3 -9/(a+5)

In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.

The attached table shows the values (a, b) = (x₁, f(x₁)).

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