MATH SOLVE

4 months ago

Q:
# Which statement best reflects the solution(s) of the equation? √2x−1−x+2=0 answer choices:There is only one solution: x = 1. The solution x = 5 is an extraneous solution. There are two solutions: x = 1 and x = 5. There is only one solution: x = 5. The solution x = 1 is an extraneous solution. There is only one solution: x = 5. The solution x = 0 is an extraneous solution.

Accepted Solution

A:

Simplifing the expression and moving to the RHS we have
âš2x = x +1
Let's check for extraneous solution by squaring both sides.
I assume the x and 2 are together. So we have 2x = (x+1)^2
This gives 2x = x^2 + 2x +1. So x^2 + 2x +1 -2x = 0. Then we have x^2 =-1.
When x =1; 1 is not equal to -1 so x =1 is an extraneous solution.