Question
Download Solution PDFIf 2a + 3b = 10 and ab = 3, then find the value of 4a2 + 9b2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
2a + 3b = 10
ab = 3
Concept used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
2a + 3b = 10
⇒ (2a + 3b)2 = 102
⇒ 4a2 + 9b2 + 12ab = 100
⇒ 4a2 + 9b2 + 36 = 100
⇒ 4a2 + 9b2 = 100 - 36
⇒ 4a2 + 9b2 = 64
∴ The required answer is 64.
Last updated on Jul 8, 2025
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