Question
Download Solution PDFजर x + y = 10 आणि xy = 12 असेल तर x2 - xy + y2 चे मूल्य काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
जर x + y = 10 आणि xy = 12
वापरलेले सूत्र:
(x + y)2 = x2 + 2xy + y2
गणना:
(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
आपल्याला x2 - xy + y2 शोधायचे आहे
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ योग्य उत्तर पर्याय (3) आहे.
Last updated on Jun 3, 2025
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