помогите пожалуйста! решите уравнение |х - 2| + |х - 7| = 4. Created by Мангл8888. matematika-ru

помогите пожалуйста! решите уравнение |х - 2| + |х - 7| = 4|х - 2| =0 x=2 - +--------------------------------------------2------------------------------------------------|х - 7| = 0 x=7 - +---------------------------------------------------------------7------------------------------- |х - 2| + |х - 7| = 4 ⇔1) {x<2 {x<2 {-(x-2)-(x-7)=4 ⇔ {-2x=-5 x=5/2∉x<2 2) { 2≤x≤7 {(x-2)-(x-7)=4 0x=-1 нет решений 3) {x>7 { (x-2)+(x-7)=4 2x=4+9 x=13/2∉x>7проверка:|13/2- 2| + |13/2 - 7| =(9/2) + (1/2 )|=5≠4нет решенийНовые вопросы в МатематикаСколько миллиметров в 18 сантеметрахвычислите значение выражения |м-н|-|м+н| если м=616 и н=-1013срочно!!!Для якого значення b графіки функцій у = 3x + b i y=2x + 4 перетинаються в точці, що лежить на осі абсцис?Сколько будет одна пятая от 4200 кг?2) Решить уравнение: (x-1)(x-2)+(x-2)(x-3)-2 (x-3) (x-4)=—4. 10 Помогите пажешка:(0:5 1/18=Знайдіть значення виразу:(m7)-3 : m-21допоможіть срочно!!!!!Скоротіть дріб:*Г)Б)А)В)Найдите расстояние между точками:а) А¹(2; 1) и A² (1; -1); 6) В¹ (4; 3) и В² (-1; 3).ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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помогите пожалуйста! решите уравнение |х - 2| + |х

Мангл8888 @Мангл8888

August 2022 1 5 Report

помогите пожалуйста! решите уравнение |х - 2| + |х - 7| = 4

Answers & Comments

TARTILLO

Verified answer

помогите пожалуйста! решите уравнение |х - 2| + |х - 7| = 4

|х - 2| =0 x=2
- +
--------------------------------------------2------------------------------------------------

|х - 7| = 0 x=7
- +
---------------------------------------------------------------7-------------------------------

|х - 2| + |х - 7| = 4 ⇔1) {x<2 {x<2
{-(x-2)-(x-7)=4 ⇔ {-2x=-5 x=5/2∉x<2

2) { 2≤x≤7
{(x-2)-(x-7)=4 0x=-1 нет решений

3) {x>7
{ (x-2)+(x-7)=4 2x=4+9 x=13/2∉x>7
проверка:

|13/2- 2| + |13/2 - 7| =(9/2) + (1/2 )|=5≠4

нет решений