One less = The number = One more?

Algebra Level 4

∣a−1∣+∣b−1∣=∣a∣+∣b∣=∣a+1∣+∣b+1∣\left| a-1 \right| +\left| b-1 \right| =\left| a \right| +\left| b \right| =\left| a+1 \right| +\left| b+1 \right|

Let aa and bb be distinct real numbers such that the above equation is satisfied.

Find the least possible value of ∣a−b∣\left| a-b \right| .

This problem is part of the set Hard Equations

View solutions
View wiki
Julian Uy by Julian Uy
×

Problem Loading...

Note Loading...

Set Loading...