When , the first step is to rearrange the equation so that the constant term is alone on one side.
The left-hand side of the equation can now be expressed as a function, f(x)=∣2x−5∣.
We'll draw the graph of f.
The solutions to the equation
are the x
-coordinates of the points on the graph that have the y
The equation has the solutions x=1
We can verify the solutions by testing them in the equation. We'll start with x=1.
makes a true statement, it is a solution to the equation. Next, we'll verify x=4
in the same way.
makes a true statement, it is also a solution. Thus, the equation has the solutions