RÄspuns :
a) (2ā¢x+3)ā¢(2ā¢x+4)= 56
4xĀ²+6x+8x+12=56
4xĀ²+14x-44=0
2xĀ²+7x-22=0
Ī=7Ā²+4*2*22=49+176=225
xā=(-7+ā225)/2*2=(-7+15)/4=2
xā=(-7-ā225)/2*2=(-7-15)/4=-22/4=-11/2=-5,5
b) (2ā¢x+1)ā¢(2ā¢x+2)ā¢(2ā¢x+3)=720
720 =8*9*10
(2ā¢x+1)=8 x=(8-1)/2=7/2
(2ā¢x+2)=9 x=(9-2)/2=7/2
(2ā¢x+3)=10 x=(10-3)/2=7/2
c) (x-1)ā¢(y+2)=13
13=1*13
x-1=1 x=2
y+2=13 y=11
x-1=13 x=14
y+2=1 y=-1
2. Rezolvati ecuatiile
a) x+21ā¢11=5ā“-19ā¢3
x+231=625-57
x=337
b)x-(7Ā²-11ā¢4)=29ā¢8-2āµ
x-(49-44)=232-32
x-5=200
x=205
c)6ā¢x:15+7Ā²ā¢5=15Ā²+17ā¢3-27
2ā¢x:5+49ā¢5=225+51-27
2ā¢x:5+245=249
2ā¢x:5=4
2x=20
x=10
d) x-(29ā¢5-12Ā²)=25Ā²-2ā¢11ā¢10
x-(145-144)=625-220
x-1=405
x=406
e)18:[(5Ā²-5ā¢x)ā¢2-11]=2
18:[(25-5x)ā¢2-11]=2
(25-5x)ā¢2-11=9
50-10x=20
10x=30
x=3
f) 2014-{2015-[2014-(2013-x)]}=12
-{2015-[2014-(2013-x)]}=12-2014
2015-[2014-(2013-x)]=2002
-[2014-(2013-x)]=2002-2015
2014-(2013-x)=13
-(2013-x)=13-2014
2013-x=2001
x=12
4xĀ²+6x+8x+12=56
4xĀ²+14x-44=0
2xĀ²+7x-22=0
Ī=7Ā²+4*2*22=49+176=225
xā=(-7+ā225)/2*2=(-7+15)/4=2
xā=(-7-ā225)/2*2=(-7-15)/4=-22/4=-11/2=-5,5
b) (2ā¢x+1)ā¢(2ā¢x+2)ā¢(2ā¢x+3)=720
720 =8*9*10
(2ā¢x+1)=8 x=(8-1)/2=7/2
(2ā¢x+2)=9 x=(9-2)/2=7/2
(2ā¢x+3)=10 x=(10-3)/2=7/2
c) (x-1)ā¢(y+2)=13
13=1*13
x-1=1 x=2
y+2=13 y=11
x-1=13 x=14
y+2=1 y=-1
2. Rezolvati ecuatiile
a) x+21ā¢11=5ā“-19ā¢3
x+231=625-57
x=337
b)x-(7Ā²-11ā¢4)=29ā¢8-2āµ
x-(49-44)=232-32
x-5=200
x=205
c)6ā¢x:15+7Ā²ā¢5=15Ā²+17ā¢3-27
2ā¢x:5+49ā¢5=225+51-27
2ā¢x:5+245=249
2ā¢x:5=4
2x=20
x=10
d) x-(29ā¢5-12Ā²)=25Ā²-2ā¢11ā¢10
x-(145-144)=625-220
x-1=405
x=406
e)18:[(5Ā²-5ā¢x)ā¢2-11]=2
18:[(25-5x)ā¢2-11]=2
(25-5x)ā¢2-11=9
50-10x=20
10x=30
x=3
f) 2014-{2015-[2014-(2013-x)]}=12
-{2015-[2014-(2013-x)]}=12-2014
2015-[2014-(2013-x)]=2002
-[2014-(2013-x)]=2002-2015
2014-(2013-x)=13
-(2013-x)=13-2014
2013-x=2001
x=12
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