2024 AMC 8 Problems/Problem 10: Difference between revisions
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==Problem== | ==Problem== | ||
What is the sum of the roots of <math>\frac{1}{x}</math> <math>+1=x</math>? | |||
A)0 B)-1 C)1 D)-2 E)2 | |||
==Solution 1== | ==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. | (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 | -Multpi12 | ||
Revision as of 11:30, 21 January 2024
Problem
What is the sum of the roots of 
?
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
