problem of 2018 squares

Algebra Level 2

If x + 1 x = 2 x+\dfrac 1x=2 , find x 2018 + 1 x 2018 x^{2018}+ \dfrac 1{x^{2018}} .

2018^2018 none of the above 2018 2

Anant Zen by Anant Zen , 18, India

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2 solutions

Anant Zen
Feb 21, 2018

x+[1/X]=2 When simplified we get a quadratic equation, x^2-2x+1=0 the roots of this equation are 1,1 hence, x=1 this implies that the answer is 2

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Suresh Jh
Feb 22, 2018

When we solve x+(1/x) we solution x=1,

When we put x=1 in equation we get sum equal to 2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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