Question
Download Solution PDFx + y = 10 మరియు xy = 12 అయితే, x2 - xy + y2 విలువను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినవి:
x + y = 10 మరియు xy = 12
ఉపయోగించిన సూత్రం:
(x + y)2 = x2 + 2xy + y2
గణనలు:
(x + y)2 = x2 + 2xy + y2
⇒ 102 = x2 + 2xy + y2
⇒ 100 = x2 + 2(12) + y2
⇒ 100 = x2 + 24 + y2
⇒ x2 + y2 = 100 - 24
⇒ x2 + y2 = 76
x2 - xy + y2 విలువను కనుగొనాలి
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ సరైన సమాధానం ఎంపిక (3).
Last updated on Jun 3, 2025
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