(J + K) 25 మరియు (J * K) 150 అయితే, (J - K) విలువను కనుగొనండి?

  1. ±3
  2. ±6
  3. ±5
  4. ±8

Answer (Detailed Solution Below)

Option 3 : ±5
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Detailed Solution

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(J + K) = 25      ----(1)

మరియు J × K = 150

పై సమీకరణాన్ని వర్గీకరించడం ద్వారా,
 

⇒ (J + K)2 = 252

⇒ J2 + K2 + 2JK = 625

⇒ J+ K2 = 625 - 300

⇒ J2 + K= 325      ----(2)

(J - K) విలువ రావడానికి, సమీకరణం (2) నుంచి 2JK తీసివేయాలి.

⇒ J2 + K2 - 2JK = 325 - 2JK

⇒ (J - K)2 = 325 - 300 = 25

∴ (J - K) = ±5
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