Question

rezilvatii ecuatiile:
|2x-3|=5

Answer 1

Răspuns:

{-1; 4}

Explicație pas cu pas:

|2x-3|=5 => 2x-3=±5

Cazul I:

2x-3=5 => 2x=5+3 => 2x=8 => x=8:2 => x=4 => S₁={4}

Cazul II:

2x-3=-5 => 2x=-5+3 => 2x=-2 => x=-2:2 => x=-1 => S₂={-1}

S=S₁∩S₂={4}∩{-1}={-1; 4}