2024 AMC 8 Problems/Problem 10

Revision as of 11:30, 21 January 2024 by Multpi12 (talk | contribs) (Problem)

Problem

What is the sum of the roots of $\frac{1}{x}$ $+1=x$?

A)0 B)-1 C)1 D)-2 E)2

Solution 1

(joke problem but decided to answer it)The answer is C. If you multiply the equation by x you get 1+x=x^2 . Now moving it to a quadratic you get -x^2+x+1 . Using Vieta's -b/a is -1/-1 which is 1.

-Multpi12