Question

Rezolvati ecuatille:

lxl= 20

lx-1l= 20

lx-1l= -20


l2x-1l= 15

2x-3=7

2x-3=7-x

2$x^{2}$ =6

* l inseamna modul
Va rog frumos !...

Answer 1

$|x| = 20 = > x = 20. \: \: \: x = - 20.$

$|x - 1| = 20 = > x - 1 = 20 .\: \: \: \: x - 1 = - 20 = > \: \: \: \: x = 20 + 1. \: \: \: \: \: x = - 20 + 1 = > \: \: \: \: \: x = - 19. \: \: \: \: x = 21.$

$|2x - 1| = 15 = > 2x - 1 = 15. \: \: \: \: \: 2x - 1 = - 15 = > \: \: \:2 x = 15 + 1 \: \: \: \: 2x = - 15 + 1 = > x = 8 .\: \: \: \: \: x = - 7$

$2x - 3 = 7 = > 2x = 7 + 3 = > 2x = 10 = > x = 5$

$2x - 3 = 7 - x = > 2x + x = 7 + 3 = > 3x = 10 = > x = \frac{10}{3} .$

$2x {}^{2} = 6 = > x {}^{2} = 3 = > x = - \sqrt{3} . \: \: \: x = \sqrt{3}$