Given the equation $|x + 3| = |x + 1|$ , how many distinct values of $x$ can satisfy this equation?

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Official Explanation

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To solve the equation

|x + 3| = |x + 1|

, we can square both sides since both expressions are non-negative:

(x + 3)^2 = (x + 1)^2

. Expanding both sides gives us [m]x^2 + 6x…

Comments

hariApr 9, 2025

thanksss

AmanAug 17, 2024

thanks for taking time to upload it!

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.