Question
Download Solution PDFजर 3x2 – ax + 6 = ax2 + 2x + 2 मध्ये फक्त एक (आवर्ती) उकल असेल, तर a चे धन पूर्णांक उकल काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले समीकरण 3x2 – ax + 6 = ax2 + 2x + 2 आहे
⇒ 3x2 – ax2 – ax – 2x + 6 – 2 = 0
⇒ (3 – a)x2 – (a + 2)x + 4 = 0
जसे समीकरणाला फक्त (एक आवर्ती उकल) आहे
⇒ D = B2 – 4AC = 0
⇒ (a + 2)2 – 4(3 – a)4 = 0
⇒ a2 + 4a + 4 – 48 + 16a = 0
⇒ a2 + 20a – 44 = 0
⇒ a2 + 22a – 2a – 44 = 0
⇒ a(a + 22) – 2(a + 22) = 0
⇒ a = 2, -22
∴ a ची धन पूर्णांक उकल = 2.Last updated on Jun 2, 2025
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