Question

What is the sum of the solutions of 2|x−1|−4= −2 2x-1-4= -2

Answer 1

The problem is as following :

What is the solutions of 2|x−1|−4= −2

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Solution:

The equation is ⇒⇒ 2|x−1|−4= −2 → add 4 to both sides

∴ 2|x−1| -4 + 4= −2+4

∴ 2|x−1|= 2 → divide over 2

∴ |x−1|= 1

According to absolute rules:

∴ x-1 = 1 or x-1 = -1

∴ x = 2 or x = 0

∴ x = {0,2}


So, the solution of the equation is {0,2}