The number of integers that satisfy the equality - Quantitative Aptitude - CAT Quadratic Equation
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The question below is from previous year CAT question from CAT 2020 exam comes from CAT Quadratic Equation: The number of integers that satisfy the equality (x2 – 5x + 7)x + 1 = 1 is ?
Find out by answering this question which tests an aspirant’s Quantitative Ability Skills
CAT 2020 - Slot 2 - Quantitative Aptitude - Quadratic Equation - Question 17 - The number of integers that satisfy the equality
Q. 17: The number of integers that satisfy the equality (x2 – 5x + 7)x + 1 = 1 is
1. 5
2. 4
3. 3
4. 2
Correct Answer 3 (Option 3)
We can have three possibilities for the equality of form 
= 1
First n = 0, then x = 1 and then x = -1 and n = even 
Using first x = -1, and substituting in given equation
Solving x = 2 or x = 3 (Both are acceptable)
No integer values,
So 3 values satisfy the equality
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