Question
Download Solution PDFx2 – 12x + k = 0 या समीकरणाच्या वर्गमुळांपैकी एक x = 3 आहे. तर दुसरे वर्गमूळ आहे:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
वर्ग समीकरणाचे वर्गमूळ समीकरण पूर्ण करते, तर एका वर्गमूळाची किंमत ठेवून,
कोणीही माहित नसलेले चल आणि म्हणूनच दुसरे वर्गमूळ शोधू शकतो.
पडताळा:
तर x = 3 हे समीकरण x2 – 12x + k = 0 मध्ये ठेवू,
⇒ 9 – 36 + k = 0
⇒ k = 27
समीकरणामध्ये k ची किंमत ठेवून
आपल्याला मिळेल: x2 – 12x + 27 = 0
⇒ x2 – 9x – 3x + 27 = 0
⇒ x(x – 9) – 3 (x – 9) = 0
⇒ (x – 3)(x – 9) = 0
⇒ x = 3 आणि 9
∴ समीकरणाचे दुसरे वर्गमूळ 9 आहे.
Last updated on Jun 2, 2025
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