Find the nature of the roots of the equation 3x2+ 5x + 3 = 0

This question was previously asked in
UP Police SI (दरोगा) Previous Paper 1 (Held On: 12 Dec 2017 Shift 2)
View all UP Police Sub Inspector Papers >
  1. real and imaginary
  2. imaginary
  3. real and unequal
  4. real and equal

Answer (Detailed Solution Below)

Option 2 : imaginary
Free
यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
20 Qs. 50 Marks 10 Mins

Detailed Solution

Download Solution PDF

Given:

Equation 3x2 + 5x + 3 = 0

Concept:

Using Discriminant formula, D = b2 - 4ac

If D ≥ 0, then the roots of the equation are Real and

if, D < 0, then the roots of the equation are Imaginary

Explanation:

3x2 + 5x + 3 = 0

a = 3, b = 5, c = 3

⇒ D = 52 - (4 × 3 × 3) = -11

∴ D < 0, And the roots of the equation are Imaginary

Latest UP Police Sub Inspector Updates

Last updated on Jun 19, 2025

-> The UP Police Sub Inspector 2025 Notification will be released by the end of June 2025 for 4543 vacancies.

-> A total of 35 Lakh applications are expected this year for the UP Police vacancies..

-> The recruitment is also ongoing for 268  vacancies of Sub Inspector (Confidential) under the 2023-24 cycle.

-> The pay Scale for the post ranges from Pay Band 9300 - 34800.

-> Graduates between 21 to 28 years of age are eligible for this post. The selection process includes a written exam, document verification & Physical Standards Test, and computer typing test & stenography test.

-> Assam Police Constable Admit Card 2025 has been released.

Hot Links: teen patti boss teen patti bodhi lucky teen patti