Find-the-sum-of-the-roots-of-the-equation-x-2-2x-3-x-1-3-0-

Question Number 148515 by mathdanisur last updated on 28/Jul/21

F i n d t h e s u m o f t h e r o o t s o f t h e e q u a t i o n :

x^{2} - 2 x - 3 ∣ x - 1 ∣ + 3 = 0

Answered by dumitrel last updated on 28/Jul/21

∣ x - 1 ∣^{2} - 3 ∣ x - 1 ∣ + 2 = 0 \Rightarrow∣ x - 1 ∣\in {1, 2}

x - 1 \in {\pm 1; \pm 2} \Rightarrow s u m = 4

Commented by mathdanisur last updated on 28/Jul/21

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