Question
If 2a - 3b = 8 and ab = 7, then find the value of 2a +
3b.Solution
Squaring both the sides
64 = 4a² + 9b² - 12(7)
64 + 84 = 4a² + 9b²
148 = 4a² + 9b²
(2a + 3b)² = 148 + 84 = 232
(2a + 3b) = 2â58
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