Find the integer x that satisfies the equation x5101x3999x2+100900=0.


Answer:

10

Step by Step Explanation:
  1. We need to find the integer value of x that satisfies the equation x5101x3999x2+100900=0.
  2. x5101x3999x2+100900=0x5101x3999x2+100899+1=0x3(x2101)999(x2101)+1=0(x2101)(x3999)+1=0(1)
  3. We observe that the only integer that satisfies (1) is 10.
    Hence, the value of x is 10.

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