Question

How to solve |x-1|=|x-2| geometrically? ​

Answer 1

I don’t quite know about geometrically, but I’m sure this will help.

Algebraically: square both sides, as it negates the modulus(absolute value) brackets.
(x-1)^2=(x-2)^2
x^2-2x+1=x^2-4x+4
The x^2’s cancel out.
-2x+1=-4x+4
2x=3
X=1.5

Answer 2

x=3/2 or 1.5

Explanation:

Screenshot below should help :)