Question
Download Solution PDFजर a2 - b2 = 88, a - b = 4 असेल तर ab चे मूल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिल्याप्रमाणेः
a2 - b2 = 88
a - b = 4
वापरलेले सूत्र:
a2 - b2 = (a - b)(a + b)
गणना:
a - b = 4 ----(1)
(a - b)(a + b) = 88
⇒ 4 × (a + b) = 88
⇒ a + b = 88/4
⇒ a + b = 22 ----(2)
समीकरण (1) आणि समीकरण (2)ची बेरीज केल्यास, आपल्याला मिळते
⇒ a - b + a + b = 4 + 22
2a = 26
⇒ a = 13
समीकरण (2) मध्ये a चे मूल्य ठेवून, आपल्याला मिळेल
13 + b = 22
⇒ b = 9
ab चे मूल्य = 13 × 9
⇒ ab = 117
∴ ab चे मूल्य 117 आहे.
Last updated on Jul 10, 2025
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