Question
Download Solution PDFIf a - b = 3 and a2 + b2 = 29, find the value of ab.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If a - b = 3 and a2 + b2 = 29
Formula used:
(a + b)2 = a2 + b2 + 2ab
(a - b)2 = a2 + b2 - 2ab
Calculation:
(a - b) = 3
(a - b)2 = a2 + b2 - 2ab
9 = 29 - 2ab
2ab = 29 - 9
ab = 20/2 = 10
∴ The correct answer is option 1.
Last updated on Mar 21, 2025
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