If x frac 1 x 4 find x2 frac 1 x 2 - JAMB Mathematics 1990 Question
If x + (\frac{1}{x}) = 4, find x2 + (\frac{1}{x^2})
A
16
B
14
C
12
D
9
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Correct Option: B
x + (\frac{1}{x}) = 4, find x2 + (\frac{1}{x^2})
= (x + (\frac{1}{x}))2 = x2 + (\frac{1}{x^2}) + 2
x2 + (\frac{1}{x^2}) = ( x + (\frac{1}{x^2}))2 - 2
= (4)2 - 2
= 16 - 2
= 14
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