3x2 + 5x + 3 = 0 या समीकरणाच्या मुळांचे स्वरूप शोधा.

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UP Police SI (दरोगा) Previous Paper 1 (Held On: 12 Dec 2017 Shift 2)
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  1. वास्तविक आणि काल्पनिक
  2. काल्पनिक
  3. वास्तविक आणि असमान
  4. वास्तविक आणि समान

Answer (Detailed Solution Below)

Option 2 : काल्पनिक
Free
UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
160 Qs. 400 Marks 120 Mins

Detailed Solution

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दिलेल्याप्रमाणे:

समीकरण 3x2 + 5x + 3 = 0

संकल्पना:

भेदभाव सूत्र वापरून, D = b2 - 4ac

स्पष्टीकरण:

D = b2 - 4ac

जर D ≥ 0 असेल, तर समीकरणाची मुळे वास्तविक आहेत

आणि जर, D

येथे,

3x2 + 5x + 3 = 0

a = 3, b = 5, c = 3

⇒ D = 52 - (4 × 3 × 3) = -11

∴ D

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