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Question
a − b = 3, a2 + b2 = 29. ∴ ab = ______.
Options
19
10
18
12
MCQ
Fill in the Blanks
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Solution
a − b = 3, a2 + b2 = 29. ∴ ab = 10.
Explanation:
a2 + b2 = (a − b)2 + 2ab
29 = 9 + 2ab
29 − 9 = 2ab
∴ 2ab = 20
∴ ab = `20/2`
∴ ab = 10
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