Question
Download Solution PDFयदि a2 - b2 = 88, a - b = 4 है तब ab का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
a2 - b2 = 88
a - b = 4
प्रयुक्त 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) और समीकरण (2) को जोड़ने पर, हमें प्राप्त होता है
⇒ a - b + a + b = 4 + 22
2a = 26
⇒ a = 13
a का मान समीकरण (2) में रखने पर, हमें प्राप्त होता है
13 + b = 22
⇒ b = 9
ab का मान = 13 × 9
⇒ ab = 117
∴ ab का मान 117 है।
Last updated on Jul 21, 2025
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