Question

Rezolvati ecuatiile
a) x+21x11 = 5 la puterea 4 -19x3
Model.x+231=625-27 <=>x=337
b) x-(7 la puterea 2 - 44) = 29x8-2 la puterea 5
c) 6x : 15 + 7 la puterea 2 x5= 15 la puterea 2 + 17x3-27
d) x-(29x5-12 la puterea a 2) = 25 la puterea 2 - 2x11x10
e) 18:[(5 la puterea 2 - 5x) x2-11] = 2
f) 2014-{2015-{2014-(2013-x)]} = 2012
Ofer coronita!!

Answer 1

Voi nota inmultirea cu •
iar ridicarea la putere cu ^
a)x+21•11=5^4-19•3

x+231=625-57
x+231=568
x=568-231=337

b)x-(7^2-44)=29•8-2^5
x-(49-44)=232-32
x-5=200
x=200+5=205

c)6x:15+7^2•5=15^2+17•3-27
2x:5+49•5=225+51-27
2x:5+245=249
2x:5=4
2x=5•4
2x=20
x=10

d)x-(29•5-12^2)=25^2-2•11•10
x-(145-144)=625-220
x-1=405
x=405+1=406

e)18:[(5^2-5x)•2-11]=2
18:[(25-5x)•2-11]=2
18:(50-10x-11)=2
18=2•(39-10x)
9=39-10x
10x=30
x=3

f)2014-{2015-[2014-(2013-x)]}=2012
2014-2015-2014-2013+x=2012
x-4028=2012
x=2012+4028=6040