Quantitative Aptitude – Quadratic Equation – The number of integers that satisfy the equality


Slot – 1 – Quantitative Aptitude – Quadratic Equation – The number of integers that satisfy the equality


Q. The number of integers that satisfy the equality (x^2-5x+7)^x+1 = 1 ?
  1. 4
  2. 2
  3. 3
  4. 5
Answer: 3

Solution:
Case 1 : if x +1 = 0
Means x = -1
Case 2 :
If x^2-5x+7=1
or x^2-5x+6=0
So x = 2 or 3
Thus possible number of integer solutions = 3


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