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a) \(\frac{2}{3}-4.\left(\frac{1}{2}+\frac{3}{4}\right)\)
= \(\frac{2}{3}-4.\frac{5}{4}\)
= \(\frac{2}{3}-5\)
= \(-\frac{13}{3}\).
b) Câu này là 117 hay \(\frac{11}{7}\) vậy bạn?
Chúc bạn học tốt!
\(\dfrac{7}{15}+\left(\dfrac{-4}{11}\right)+\dfrac{8}{15}-2,5+\dfrac{7}{15}\)
\(=\dfrac{7}{15}+\left(\dfrac{-4}{11}\right)+\dfrac{8}{15}+\left(\dfrac{-5}{2}\right)+\dfrac{7}{15}\)
\(=\left(\dfrac{7}{15}+\dfrac{8}{15}+\dfrac{7}{15}\right)+\left[\left(\dfrac{-4}{11}\right)+\left(\dfrac{-5}{2}\right)\right]\)
\(=\dfrac{22}{15}+\left(\dfrac{-63}{22}\right)\)
\(=\dfrac{-461}{330}\)
\(=\dfrac{7}{15}+\dfrac{8}{15}+\dfrac{-4}{11}-\dfrac{5}{2}+\dfrac{7}{15}=\dfrac{22}{15}-\dfrac{63}{22}=-\dfrac{461}{330}\)
1: x=3/4-1/2=3/4-2/4=1/4
2: x-1/5=2/11
=>x=2/11+1/5=21/55
3: x-5/6=16/42-8/56
=>x-5/6=8/21-4/28=5/21
=>x=5/21+5/6=15/14
4: x/5=5/6-19/30
=>x/5=25/30-19/30=6/30=1/5
=>x=1
5: =>|x|=1/3+1/4=7/12
=>x=7/12 hoặc x=-7/12
6: x=-1/2+3/4
=>x=3/4-1/2=1/4
11: x-(-6/12)=9/48
=>x+1/2=3/16
=>x=3/16-1/2=-5/16
1)x= 1/4
2)x= 2/11+ 1/5
x= 21/55
3)x - 5/6 = 5/21
x = 5/21+5/6
x = 15/14
4)x/5 = 5/6 + -19/30
x:5 = 1/5
x = 1/5.5
x = 1
5) |x| - 1/4 = 6/18
|x| = 6/18 - 1/4
|x| =7/12
⇒x= 7/12 hoặc -7/12
6)x = -1/2 +3/4
x= 1/4
7) x/15 = 3/5 + -2/3
x:15 = -1/15
x = -1/15. 15
x = -1
8)11/8 + 13/6 = 85/x
85/24 = 85/x
⇒ x = 24
9) x - 7/8 = 13/12
x = 13/12 + 7/8
x = 47/24
10)x - -6/15 = 4/27
x = 4/27 + (-6/15)
x = -34/135
11) -(-6/12)+x = 9/48
x= 9/48 - 6/12
x = -5/16
12) x - 4/6 = 5/25 + -7/15
x -4/6 = -4/15
x = -4/15 + 4/6
x = 2/5
A=(-3/4+2/3).11/9+(-1/4+1/3):|-9/11|
\(=\left(-\frac{3}{4}+\frac{2}{3}\right).\frac{11}{9}+\left(-\frac{1}{4}+\frac{1}{3}\right).\frac{11}{9}\)
\(=\frac{11}{9}\left(-\frac{3}{4}+\frac{2}{3}-\frac{1}{4}+\frac{1}{3}\right)\)
\(=\frac{11}{9}\left(-1+1\right)\)
\(=\frac{11}{9}.0\)
=0
a) \(\frac{1}{3}-\frac{3}{4}-\left(\frac{-3}{5}\right)+\frac{1}{64}-\frac{2}{9}-\frac{1}{36}+\frac{1}{15}\)
=\(\left(\frac{1}{3}+\frac{3}{5}+\frac{1}{15}\right)-\left(\frac{3}{4}+\frac{2}{9}+\frac{1}{36}\right)+\frac{1}{64} \)
=\(\frac{5+9+1}{15}-\frac{27+8+1}{36}+\frac{1}{64}\)
= \(1+1+\frac{1}{64}=2\frac{1}{64}\)
Do x2n=(-x)2n
=>327.1530.(-4)16=327.(-15)30.416=327.(-15)30.(42)8=327.(-15)30.88
(327.1530.(-4)16)/((-15)30.811)=(327.(-15)30.88)/((-15)30.811)=327/83
1) x+14=43x+14=43
⇒x=43−14=1312⇒x=43−14=1312
2) 34:25.x=296034:25.x=2960
⇒25.x=2960−34=−415⇒25.x=2960−34=−415
⇒x=−415.52=−23⇒x=−415.52=−23
3) 134.x+112=−45134.x+112=−45
⇒74.x+32=−45⇒74.x+32=−45
⇒74.x=−45−32=−2310⇒74.x=−45−32=−2310
⇒x=−2310.47=−−4635⇒x=−2310.47=−−4635
4) 1112−(25+x)=231112−(25+x)=23
⇒25+x=1112−23=14⇒25+x=1112−23=14
⇒x=14−25=−320⇒x=14−25=−320
5) 234.x=317:0,01234.x=317:0,01
⇒114.x=117:1100=11007⇒114.x=117:1100=11007
⇒x=11007.411=447⇒x=11007.411=447
6) 2x.(x−17)=02x.(x−17)=0
⇒x−17=0⇒x−17=0 (1) hoặc x=0x=0
(1) ⇒x=17⇒x=17
Vậy x={0;17}x={0;17}
7) 34+14:x=2534+14:x=25
⇒14:x=25−34=−720⇒14:x=25−34=−720
⇒x=14:−720=14.−207=−57⇒x=14:−720=14.−207=−57
8) 3,8:2x=14:2233,8:2x=14:223
⇒1,9x=14:83=14.38=332⇒1,9x=14:83=14.38=332
⇒x=332:1,9=15304⇒x=332:1,9=15304
9) 0,25x:3=56:0,125=56:18=56.8=2030,25x:3=56:0,125=56:18=56.8=203
⇒0,25x=203.3=20⇒0,25x=203.3=20
⇒x=20:0,25=80⇒x=20:0,25=80
10) 113:0,8=23:0,1x113:0,8=23:0,1x
⇒43:45=23:110.x⇒43:45=23:110.x
⇒53=203.x⇒53=203.x
⇒x=53:203=14⇒x=53:203=14
11) 3,2x+(−1,2)x+2,7=−4,93,2x+(−1,2)x+2,7=−4,9
⇒2x+2,7=−4,9⇒2x+2,7=−4,9
⇒2x=−4,9−2,7=−7,6⇒2x=−4,9−2,7=−7,6
⇒x=−3,8⇒x=−3,8
12) |x|−2,2=1,3|x|−2,2=1,3
⇒|x|=1,3+2,2=3,5⇒|x|=1,3+2,2=3,5
⇒x=±3,5⇒x=±3,5
13) |x+34|−13=0|x+34|−13=0
⇒|x+34|=13⇒|x+34|=13
⇒x+34=13⇒x=−512⇒x+34=13⇒x=−512
hoặc x+34=−13⇒x=−1312x+34=−13⇒x=−1312
Vậy x={−512;−1312}x={−512;−1312}
14) |x+13|−4=−1|x+13|−4=−1
⇒|x+13|=−1+4=3⇒|x+13|=−1+4=3
⇒x+13=3⇒x=83⇒x+13=3⇒x=83
Hoặc x+13=−3⇒x=−3−13=−103x+13=−3⇒x=−3−13=−103
15) Do |x−1,5|≥0|x−1,5|≥0 và |2,5−x|≥0|2,5−x|≥0 với mọi giá trị của xx
⇒|x−1,5|+|2,5−x|=0⇒|x−1,5|+|2,5−x|=0 khi
⇒x−1,5=0⇒x=1,5⇒x−1,5=0⇒x=1,5 và 2,5−x=0⇒x=2,52,5−x=0⇒x=2,5 (loại vì ra 2 kết quả khác nhau)