4. Determinati valorile lui x din:
a) [(324 + 205 : 5 - x): 6) 3+ 127 = 307;
b) 300 - [48 +6.7 - (x:3+15)] : 3 = 276.​

Răspuns :

Răspuns:

[(324 + 205 : 5 - x): 6) 3+ 127 = 307

[(324+41-x):6]+3=307-127

[(324+41-x):6] ·3=180

[(324+41-x):6]=180:3

(365-x):6=60

(365-x)=60·6

365-x=360=>x=365-360=>x=5

_______

300-[48+6·7-(x:3+15)]:3=276

[48+42-(x:3+15)]:3=300-276

[90-(x:3+15)]:3=24

[90-(x:3+15)]=24·3

[90-(x:3+15)]=72

(x:3+15)=90-72

x:3+15=18

x:3=18-15

x:3=3=>x=3·3=>x=9

Răspuns:

  • a) x = 5
  • b) x = 9

Explicație pas cu pas:

a) [(324 + 295 : 5 - x) : 6] × 3 + 127 = 307

[(324 + 41 - x) : 6] × 3 + 127 = 307

[(365 - x) : 6] × 3 + 127 = 307

365 - x + 254 = 614

619 - x = 614

x = 619 - 614

x = 5

b) 300 - [48 + 6 × 7 - (x : 3 + 15)] : 3 = 276

300 - (48 + 42 - 1/3x - 15) : 3 = 276

300 - (75 - 1/3x) : 3 = 276

300 - (225 - x)/9 = 276

2700 - (225 - x) = 2484

2700 - 225 + x = 2484

2475 + x = 2484

x = 2484 - 2475

x = 9