Question

Tìm x :

| x + 5 | + | y - 4 | = 0

Ai giải đầy đủ nhất mik tick cho

Answer 1

\(\left|x+5\right|+\left|y-4\right|=0\)

Vì \(\left|x+5\right|\ge0\); \(\left|y-4\right|\ge0\)

\(\Rightarrow\left|x+5\right|+\left|y-4\right|\ge0\)

Mà \(\left|x+5\right|+\left|y-4\right|=0\)

\(\Rightarrow\left|x+5\right|=0\) và \(\left|y-4\right|=0\)

+) \(\left|x+5\right|=0\Rightarrow x+5=0\Rightarrow x=-5\)

+) \(\left|y-4\right|=0\Rightarrow y-4=0\Rightarrow y=4\)

Vậy \(x=-5;y=4\)

Answer 2

\(\left|x+5\right|\)+\(\left|y-4\right|\)=0

Vì \(\left|x+5\right|\)\(\ge\)0;\(\left|y-4\right|\)\(\ge0\)

\(\Rightarrow\)\(\left|x+5\right|\)+\(\left|y-4\right|\)\(\ge\)0

Mà \(\left|x+5\right|\)+\(\left|y-4\right|\)=0

\(\Rightarrow\)\(\left|x+5\right|\)=0;\(\left|y-4\right|\)=0

+)\(\left|x+5\right|\)=0\(\Rightarrow\)x+5=0\(\Rightarrow\)x=-5

+)\(\left|y-4\right|\)=0\(\Rightarrow\)y-4=0\(\Rightarrow\)y=4

Answer 3

Vì \(\left|x+5\right|\)\(+\left|y-4\right|\)\(=0\)

Nên\(:\)\(\left|x+5\right|\)\(=0\)

Vậy \(x=0-5\)

\(\Rightarrow x=-5\)

Answer 4

| x + 5 | + | y - 4 | = 0

| x + 5 | = 0

x = 0- 5

x = -5

Answer 5

/ x+5/ + /y-4/ = 0 ta chia ra thành 2 trường hợp :

TH 1 : /x +5/ =0 suy ra 0-5 =-5

TH 2 /y-4/ =0 suy ra 0+4 =4

Vậy x là -5

y là 4