Question
Download Solution PDF(x - 2) (x - 3) चे किमान मूल्य किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसूत्र:
जेव्हा a > 0 (ax 2 + bx + c या समीकरणात), नंतर
समीकरणाचे किमान मूल्य = (4ac - b 2 )/4a आहे
गणना:
(x - 2) (x - 3)
⇒ x2 - 2x - 3x + 6
⇒ x2 - 5x + 6
ax 2 + bx + c = 0 ची तुलना करणे
a = 1, b = -5 आणि c = 6
⇒ a = 1 (a > 0)
त्यानंतर, किमान मूल्य = (4 x 1 x 6 - (-52)/4
∴ किमान मूल्य = (24 - 25)/4 = -1/4
दूसरा दृष्टीकोन (विकलन पद्धत)
(x - 2) (x - 3)
⇒ x2 - 5x + 6
वेगळे केल्यावर,आपल्याला मिळते
2x - 5 = 0
⇒ x = 5/2
म्हणून, किमान मूल्य = (5/2 - 2) (5/2 - 3) = 1/2 x - (1/2) = -1/4
Last updated on Jun 18, 2025
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