Bodhee Prep-Online CAT Coaching | Online CAT Preparation | CAT Online Courses

Get 10% OFF on CAT 24 Course. Code: BODHEE10. valid till 3rd Dec Enroll Now
| Best Online CAT PreparationFor Enquiry CALL @ +91-95189-40261

# CAT 2020 Quant Question [Slot 1] with Solution 25

Question

The number of distinct real roots of the equation ${\left( {x + \frac{1}{x}} \right)^2} - 3\left( {x + \frac{1}{x}} \right) + 2 = 0$ equals

Option: 1
Solution:

Let $x + \frac{1}{x} = a$

The given equation becomes, ${a^2} - 3a + 2 = 0$ $a = 2$ or 1 i.e $x + \frac{1}{x} = 2$ or $x + \frac{1}{x} = 1$

since $x$ is real, $x + \frac{1}{x} \ne 1;\therefore x + \frac{1}{x} = 2$

$\therefore$ The number of solutions = 1

CAT Online Course @ INR 12999 only

## CAT 2020 Quant questions with Solutions

#### CAT 2023 Mock Test Series

• 400+ Topic Tests
• 45 Sectional tests
• 20 Mock Tests (Video Solutions)
• Only at INR 2499

20% Discount Code: GET20

FREE CAT Prep Whatsapp Group

CAT 2023 Online Course at affordable price