Question

Determinati valorile lui a din:

a) [(324+205:5-a):6]·3+127=307

b) [676:13:(31·20-31-a)]·45-23·91=247

c) {[(205:5+362:2)-32·6+a]·221:13}-140:5=635

d) [(30+226:2+a:4):29+20·100]:5-11·6-5·67=0

Answer 1

A) [(324+205:5-a):6]·3+127=307
[(324+41-a):6]·3+127=307
[(365-a):6]·3+127=307
(60.833333333-a)·3+127=307
182.5-3a+127=307
309.5-3a=307
-3a=307-309.5
-3a=2.5
a=2.5/-3
a=-0.83(luat cu 2 zecimale)
B)[676:13:(31·20-31-a)]·45-23·91=247
[676:13:(620-31-a)]·45-23·91=247
(676:13:589-a)·45-23·91=247
(52:589-a)·45-23·91=247
(0.0882852292-a)·45-23·91=247
3.9728353141-45a-1911=247
-1907.0271647-45a=247
-45a=247+1907.0271647
-45a=2181.0271647
a=2181.0271647/-45
a=-48.467270327
C){[(205:5+362:2)-32·6+a]·221:13}-140:5=635
[(222-32·6+a)·221:13]-140:5=635
[(30+a)·221:13]-140:5=635
510+17a-140:5=635
510+17a-28=635
17a+482=635
17a=153
a=9
D) [(30+226:2+a:4):29+20·100]:5-11·6-5·67=0
 [(30+113+a:4):29+20·100]:5-11·6-5·67=0
[(143+a:4):29+20·100]:5-11·6-5·67=0
[(4.9310344828+a:0.1379310345)+20·100]:5-11·6-5·67=0
(35.749999996+a+2000):5-11·6-5·67=0
(2035.75+a):5-11·6-5·67=0
407.15+a-11·6-5·67=0
341.15+a-335=0
a+6.15=0
a=-6.15