👤

Cum rezolv o ecuatie cu doua module? De exemplu: |2x+3|-4|2-(2x+5)|=-27

Răspuns :

|2(x + 3/2) |-4 x |2-2x-5| = -27
2 x |x + 3/2|-  4 x |- 3 - 2x| = -27
2 x |x + 3/2| - 4 x |- 2x -3| = -27
2 x |x + 3/2| - 4 x |- 2(x - 3/-2)| = -27
2 x |x + 3/2| - 4 x |- x 2(x + 3/2)| = -27
2 x |x + 3/2| - 4 x 2 x |x + 3/2| = -27
(1 - 4) x 2 x |x + 3/2| = -27
-3 x 2 x |x + 3/2| = -27
-6 x |x + 3/2| = -27
|x + 3/2| = 9/2
x + 2/3 = 9/2
x+ 3/2 = -9/2
x = 3
x = -6
x1 = -6
x2 = 3
  
 / = supra; x=ori