Question

Suma tuturor solutiilor ecuatiei | |2x-1|+2 |=17 este:​

Answer 1

⛅BUNĂ!✌

☀RĂSPUNS: 1 ✔

| |2x-1|+2 |=17 => 1) | 2x - 1 | + 2 = 17

2) | 2x - 1 | + 2 = -17

1) | 2x - 1 | + 2 = 17

| 2x - 1 | = 17 - 2

| 2x - 1 | = 15 => 1a) 2x - 1 = 15

2a) 2x - 1 = -15

1a) 2x - 1 = 15

2x = 15 + 1

2x = 16

x = 16 : 2

x = 8✔

2a) 2x - 1 = - 15

2x = - 15 + 1

2x = -14

x = -14 : 2

x = -7✔

2) | 2x - 1 | + 2 = -17

| 2x - 1 | = -17 - 2

| 2x - 1 | = -19 => ⚠ imposibil ⚠

✏ S = { 8; -7 } ✨

☁ Suma solutiilor = 8 + ( -7 ) = 1✔

✒Sper ca te-am ajutat!!!☺

☁ SUCCES❗