If √x + (1/√x) = 3 then x4 + (1/x4) = ?
Solution
Correct Answer: Option C
√x + (1/√x) = 3 or, (√x + 1/√x)2=9 or, x+ 1/x +2=9 or,x+1/x=7 or(x+1/x)2=49 or,x2 + 1/x2 + 2 = 49 or, x2 +1/x2 = 47 or, (x2+1/x2)2=(47)2 or,x4+1/x4+2=2209 or, x4+1/x4 =2209-2=2207
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