Question
Download Solution PDFx2 + 4y2 + 2x + 1 = 0 అయితే, x39 + y36 విలువను కనుగొనండి.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
x2 + 4y2 + 2x + 1 = 0
ఉపయోగించిన సూత్రం:
x మరియు y రెండింటికీ పూర్తి చతురస్రం పద్ధతిని ఉపయోగించండి.
గణనలు:
x2 + 4y2 + 2x + 1 = 0
⇒ (x2 + 2x + 1) + 4y2 = 0
⇒ (x + 1)2 + 4y2 = 0
(x + 1)2 ≥ 0 మరియు 4y2 ≥ 0 కాబట్టి, ఏకైక పరిష్కారం:
⇒ (x + 1)2 = 0
⇒ x + 1 = 0
⇒ x = -1
మరియు
⇒ 4y2 = 0
⇒ y = 0
ఇప్పుడు, x39 + y36 కనుగొనండి:
⇒ (-1)39 + 036
⇒ -1 + 0
⇒ -1
∴ సరైన సమాధానం ఎంపిక (2).
Last updated on Jun 16, 2025
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