Question
Download Solution PDFα మరియు β (5 + √2) x2 - (4 + √5) x + (8 + 2√5) = 0 సమీకరణం యొక్క మూలాలు అయితే , 2αβ/ (α + β) యొక్క విలువ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFసమీకరణం కోసం, ax2 + bx + c = 0, α + β = -b/a మరియు αβ = c/a
⇒ ఇక్కడ, αβ = (8 + 2√5)/(5 + √2) మరియు α + β = (4 + √5)/(5 + √2)
⇒ కావున, 2αβ/ (α + β)
⇒ 2[(8 + 2√5) / (5 + √2)] / [(4 + √5) / (5 + √2)]
⇒ 2 [(8 + 2√5) (4 - √5)] / [(4 + √5) / (4 - √5)]
⇒ 2(32 + 8√5 - 8√5 - 10)/11
⇒ 44/11 = 4Last updated on Jul 18, 2025
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