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How many real numbers $x$ satisfy $x^{2} - 5∣ x$ | + 6 = 0?

Competition practiceAlgebra

A4
B2
C3
D0

Step-by-Step Solution

Put

u = ∣ x ∣ : u^{2} - 5 u + 6 = 0

gives

u = 2

or 3, so

x

= ±2 or ±3 — four solutions.

Answer: A) 4

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