If √x + 1/√x = 2 then find the value of 3x2 + 1/3x2.
√x + 1/√x = 2 Squaring on both sides (√x + 1/√x)2 = 4 x + (1/x) + 2 = 4 x + 1/x = 2 By observing the above equation the value of x is 1 = 3x2 + 1/3x2 = 3(1) + 1/3(1) = 3 + 1/3 = 10/3
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