Question
Download Solution PDFजर x2 + 4y2 + 2x + 1 = 0 असेल, तर x39 + y36 चे मूल्य काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
जर x2 + 4y2 + 2x + 1 = 0
वापरलेले सूत्र:
x आणि y दोघांसाठीही वर्ग पूर्ण करण्याची पद्धत.
गणना:
x2 + 4y2 + 2x + 1 = 0
⇒ (x2 + 2x + 1) + 4y2 = 0
⇒ (x + 1)2 + 4y2 = 0
जसे की (x + 1)2 ≥ 0 आणि 4y2 ≥ 0, एकमेव निरसन आहे:
⇒ (x + 1)2 = 0
⇒ x + 1 = 0
⇒ x = -1
आणि
⇒ 4y2 = 0
⇒ y = 0
आता, x39 + y36 काढा:
⇒ (-1)39 + 036
⇒ -1 + 0
⇒ -1
∴ योग्य उत्तर पर्याय (2) आहे.
Last updated on Jun 17, 2025
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