Question

Dau 19 puncte ajutorrrrrrrrrrr.
1.Rezolvati ecuatiile:
a) [15ori(10x-11-)-120]ori10-125=25;
b)100ori{10ori[(45x-35):5+12]ori2-21}+17=25917.

2.Determinati valoarea lui a din:
a) [324+205:-a):6]ori 3+127=307;
b) [676:13:(31ori 20-31-a0] ori 45-23ori 91=247:
c){[(205:5+362:2)-32ori 6+a]ori 221:13}-140:5=635;
d) [(30+226:2+a:4):29+20ori 100} :5-11ori 6-5ori 67=0.

3. Determinati numerele naturate care verifica egalitatiile:
a) x+5273=5723;
b) x-23542=42200;
c) (x+200):20=45:
d) (320+x)ori 15=5100;
e) 4x-1000: 50-620:4=5;
f) (3ori x+5ori x):8=10;
g) 15ori (36ori x -12 ori x) :120=3;
h) 7 ori (15ori x +35ori x): 10+2ori x=185.

Answer 1

1. a)[15ori(10x-11)-120]ori 10=25+125
[15ori(10x-11)-120]ori10=150
15ori(10c-11)-120=150:10
15(10x-11)-120=15
15ori(10x-11)=15+125
15ori(10x-11)=135
10x-11=135:15
10x-11=9
10x=11+9
10x=20
x=20:10
x=2
*=inmultit b)100*{10*[(45x-35):5+12]*2-21}=25917-17 100*{10*[(45x-35):5+12]*2-21]=25900 10*[(45x-35):5+12]*2-21=25900:100 10*[(45x-35):5+12]*2-21=259 10*[(45x-35):5+12]*2=259+21 10*[(45x-35):5+12]*2=280 10*[(45x-35):5+12]=280:2 10*[(45x-35):5+12]=140 (45x-35):5+12=140:10 (45x-35):5+12=14 (45x-35):5=14-12 (45x-35):5=2 45x-35=5*2 45x-35=10 45x=10+35 45x=45 x=45:45 x=1 3. a) x=2753-2753 x=0 b)x=42200-23547 x=18653 c)x+200=45*20 x+200=900 x=900-200 x=700 d)320+x=5100:15 320+x=340 x=340-320 x=20 e) 4x-1000:50-620:4=5 4x-20-155=5 4x-175=5 4x=5+175 4x=180 x=180:4 x=45 f)(3x+5x):8=10 8x:8=10 8x=8*10 8x=80 x=80:8 x=10 g)15*24x:120=3 15*24x=3*120 15*24x=360 24x=360:15 24x=24 x=24:24 x=1

Answer 2

2.a). [324+205:-a):6]3+127=307
[324+205:-a):6]3=180
(324+205:-a):6=60
324+250:-a=360
250:-a=36
a=-36*250=9000

c) {[(205:5+362:2)-320*6+a]221:13}-140:5=635
[222-320*6+a)221:13]-28=635
(222-320*6+a)221:13=663
(222-320*6+a)*17=663
222-320*6+a=39
a=39-222+320*6
a=1737
d). [(30+226:2+a:4):29+20*100]:5-11*6-5*67=0
[(143+a:4):29+2000]:5-401=0
[(143+a:4):29+2000]:5=401
(143+a:4):29+2000=2005
(143+a:4):29=5
143+a:4=145
a:4=2
a=8

3.a).5723-5273=x
x=450
b).42200-23542=x
x=18658
c).(x+200):20=45
x+200=900
x=700
d).(320+x)15=5100
320+x=340
x=20
e).4x-1000:5-620:4=5
4x-20-155=5
4x-175=5
4x=180
x=45
f.)(3x+5x):9=10
8x:8=10
x=10
g). 15(36x-12x):120=3
15*24x:120=3
5*8x:40=1
40x:40=1
x=1
h).7(15x+35x):10+2x=185
7*50x:10+2x=185
350x:10+2x=185
35x+2x=185
37x=185
x=5