Answer to Question #247900 in Algebra for Anino

Question

Find all values of x satisfying |x-2| = x + 4

Answer 1

By using graphical method, we draw graph of left hand side i.e., |x-2| and draw graph of right hand side i.e., x+4. And the intersecting point are the required solution.

Graph given below,

blue color graph denotes x+4 and green color denotes |x-2|.

The intersecting point (-1, 3) in the required solution i.e., x=-1 is the solution.