Question
If [2a + (1/2a)] = 5, then find the value of [4a² +
(1/4a²) - 6]Solution
[2a + (1/2a)] = 5
On squaring both sides,
Or, 4a² + (1/4a²) + 2 × 2a × (1/2a) = 25
Or, 4a² + (1/4a²) + 2 = 25
So, 4a² + (1/4a²) = 23
Required value = 23 - 6 = 17
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