5m² + 18m + 16 = 0 के मूल ज्ञात कीजिए

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)
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  1. \(\frac{8}{5}\) और 2
  2. - \(\frac{8}{5}\) और 4
  3. - \(\frac{8}{5}\) और -2
  4. \(\frac{8}{5}\) और -4

Answer (Detailed Solution Below)

Option 3 : - \(\frac{8}{5}\) और -2
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Detailed Solution

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दिया गया है:

5m2 + 18m + 16 = 0

परिकलन:

⇒ 5m2 + 18m + 16 = 0

⇒ 5m2 + 10m + 8m + 16 = 0

⇒ 5m(m + 2) + 8(m + 2) = 0

⇒ (5m + 8)(m + 2) = 0

⇒ 5m + 8 = 0 या m + 2 = 0

⇒ m = -8/5 या m = -2

∴ मूल -8/5 और -2 हैं।

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