With the graph below, we can estimate the two solutions to be:
x = -0.7
x = 5.4
How to find approximate solutions?
We want to find the solutions of the equation:
2|x-2|-5 = √x+3 - 1
To find the solution graphically, we need to graph the equations:
y = 2|x-2|-5
y = √x+3 - 1
In the same cooridnate axis and find the points where the graphs intercept.
In the graph we can see two intercepts, then there are two solutions, we can estimate them to be:
x = -0.7
x = 5.4