Question
Download Solution PDFयदि x2 + 4y2 + 2x + 1 = 0 है, तो x39 + y36 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
यदि x2 + 4y2 + 2x + 1 = 0
प्रयुक्त सूत्र:
x और y दोनों के लिए वर्ग विधि को पूर्ण करें।
गणनाएँ:
x2 + 4y2 + 2x + 1 = 0
⇒ (x2 + 2x + 1) + 4y2 = 0
⇒ (x + 1)2 + 4y2 = 0
चूँकि (x + 1)2 ≥ 0 और 4y2 ≥ 0, एकमात्र हल है:
⇒ (x + 1)2 = 0
⇒ x + 1 = 0
⇒ x = -1
और
⇒ 4y2 = 0
⇒ y = 0
अब, x39 + y36 ज्ञात कीजिए:
⇒ (-1)39 + 036
⇒ -1 + 0
⇒ -1
∴ सही उत्तर विकल्प (2) है।
Last updated on Jun 16, 2025
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