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Problem Solving (PS) | Re: What is the range of all the roots of |x^2 - 2| = x ?

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Solved this within a minute - 45 seconds without lifting a pen.

The mod is equal to +x. means the range lies in the positive side.
With this, open the mod with no sign change. X^2-2=x

Now, simply solve the quadratic equation - x^2-2-x=0, i,e. x-2,x-1. Means either X=1, or X=2.
Range of 2-1=1. So D is correct.

Statistics : Posted by amanrishuuu • on 21 May 2015, 05:15 • Replies 10 • Views 14019



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