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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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