Question
If [6a + (1/3a)] = 7, then find the value of [36a² +
(1/9a²) - 4]Solution
[6a + (1/3a)] = 7
On squaring both sides,
Or, 36a² + (1/9a²) + 2 × 6a × (1/3a) = 49
Or, 36a² + (1/9a²) + 4 = 49
So, 36a² + (1/9a²) = 45
Required value = 45 - 4 = 41
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