Difference between revisions of "2024 AMC 8 Problems/Problem 10"
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| − | (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 <math>/boxed{C}</math>. If you multiply the equation by x you get <math>1+x=x^2</math> . Now moving it to a quadratic you get <math>-x^2+x+1</math> . Using Vieta's <math>-b/a</math> is -<math>1/-1</math> which is <math>1</math>. |
-Multpi12 | -Multpi12 | ||
Revision as of 11:32, 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 
. If you multiply the equation by x you get 
. Now moving it to a quadratic you get 
. Using Vieta's 
is -
which is 
.
-Multpi12
