Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
0 votes

The sum of all real roots of the equation: $|x-2|^2+|x-2|-2=0$ is ?

$\begin{array}{1 1}(A) \;7\\(B)\;5\\(C)\;4 \\(D)\;1 \end{array}$

Can you answer this question?

1 Answer

0 votes
Given eqn.: $|x-2|^2+|x-2|-2=0$
Let $|x-2|=y$
$\Rightarrow\:y=-2 \:\:or\:\:1$
Since the roots are real, $|x-2|=1$
sum of the roots$=3+1=4$
answered Jul 17, 2013 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App