Question
Download Solution PDFजर (a + b)2 = 36 आणि ab = 8 तर, (a – b)2
चे मूल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
(a + b)2 = 36 आणि ab = 8
सूत्र:
(a + b)2 - (a – b)2 = 4ab
गणना:
(a + b)2 - (a – b)2 = 4ab
⇒ 36 – (a – b)2 = 4ab
⇒ (a – b)2 = 36 – 32
⇒ (a – b)2 = 4.
पद्धत 2
(a + b)2 = 36
⇒ a2 + b2 + 2ab = 36
⇒ a2 + b2 + 2 × 8 = 36
⇒ a2 + b2 = 20 ---- (1)
आता, (a - b)2 = a2 + b2 - 2ab = 20 - 2 × 8 = 20 - 16 = 4.
Smart trick
घ्या a = 4 आणि b = 2 [जसा (a + b)2 = (4 + 2)2 = 62 = 36 and ab = 4 × 2 = 8]
∴ (a – b)2 = (4 – 2)2 = 22 = 4.
Last updated on Jul 3, 2025
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