Question
Download Solution PDFजर x + y = 7 आणि xy = 19 असेल, तर x2 + y2 चे मूल्य काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
x + y = 7
xy = 19
वापरलेले सूत्र:
(x + y)2 = x2 + y2 + 2xy
गणना:
x + y = 7
दोन्ही बाजूंचा वर्ग करू,
⇒ (x + y)2 = 72
⇒ x2 + y2 + 2xy = 49
⇒ x2 + y2 = 49 - 2 × 19
⇒ x2 + y2 = 11
∴ x2 + y2 चे मूल्य 11 आहे.
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