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Algebra problem

Expert replies
Source: — Problem Solving |

Re: Algebra problem

by piyush_nitt » Sun Feb 01, 2009 12:37 am
yalanand wrote:If x - (1/x) = 1/2, then what is the value of x^2 + (1/x^2)?

(A) 1/4
(B) 3/4
(C) 5/4
(D) 7/4
(E) 9/4
IMO E

x - (1/x) = 1/2

squaring both sides

x^2+ (1/x)^2 - 2 = 1/4

x^2+ (1/x)^2 = 1/4+2

= 9/4
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