Question
Download Solution PDFयदि 3x2 – ax + 6 = ax2 + 2x + 2 का केवल एक हल (पुनरावृत्त) है, तो a का धनात्मक अभिन्न हल क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
3x2 – ax + 6 = ax2 + 2x + 2
⇒ 3x2 – ax2 – ax – 2x + 6 – 2 = 0
⇒ (3 – a)x2 – (a + 2)x + 4 = 0
प्रयुक्त अवधारणा:
यदि एक द्विघात समीकरण (ax2 + bx + c = 0) के मूल बराबर हैं, तब विविक्तकर शून्य होना चाहिए अर्थात् b2 – 4ac = 0
गणना:
⇒ (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 का धनात्मक अभिन्न हल = 2Last updated on Jul 17, 2025
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