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[(x.x + 55) - 31].14 = 560
x² + 55 - 31 = 560 : 14
x² + 24 = 40
x² = 40 - 24
x² = 16
x = 4 hoặc x = -4
\(\left[\left(x\cdot x+55\right)-31\right]\cdot14=560\)
=>\(\left(x^2+55-31\right)=40\)
=>\(x^2=16\)
=>\(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)
Bài 6:
a)\(\left(-18\right)-\left(-3\right)-12\)
\(=\left(-18\right)+3-12\)
\(=-15-12\)
\(=-27\)
b)\(85.\left(35-27\right)-35.\left(85-27\right)\)
\(=85.35-85.27-35.85+35.27\)
\(=85.\left(35-27-35\right)+35.27\)
\(=85.\left(-27\right)+35.27\)
\(=27.\left(-85+35\right)\)
\(=27.\left(-50\right)\)
\(=-1350\)
c)\(\left(-45\right).69+31.\left(-45\right)\)
\(=\left(-45\right).\left(69+31\right)\)
\(=\left(-45\right).100\)
\(=-4500\)
Bài 7:
a)\(\left(2-x\right)+10=-14\)
\(\Rightarrow2-x=-24\)
\(\Rightarrow x=26\)
b)\(14.\left|x\right|=28\)
\(\Rightarrow\left|x\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
c)\(31-\left(17+x\right)=55\)
\(\Rightarrow17+x=-24\)
\(\Rightarrow x=-41\)
Bài 6: Thực hiện phép tính
a)(-18)-(-3)-12
= (-18) + 3 - 12
= (-15) - 12
= - 3
b)85.(35-27)-35.(85-27)
= 85. 8 - 35. 58
= 680. 2030
= 1380400
c)(-45).69+31.(-45)
= (-45) . (69 + 31)
= (-45) . 100
= - 4500
Bài 7:Tìm x thuộc Z, biết:
a)(2-x)+10=-14
2-x = 14 - 10
2-x = 4
x = 2 - 4
x = - 2
b)14.|x|=28
|x| = 28 : 14
|x| = 2
⇒ x ϵ {2;-2}
\(\frac{29}{68}\times\frac{31}{55}+\frac{31}{68}\times\frac{26}{55}=\frac{31}{68}\times\frac{29}{55}+\frac{31}{68}\times\frac{26}{55}\)
\(=\frac{31}{68}\times\left(\frac{29}{55}+\frac{26}{55}\right)\)
\(=\frac{31}{68}\)
a) \(39\times118+29\times82\)
\(=39\times2\times59+29\times2\times41\)
\(=2\times\left(39\times59+29\times41\right)\)
\(=2\times\left(2301+1189\right)\)
\(=2\times3490\)
\(=6980\)
b) \(37\times39+78\times14-13\times85-52\times55\)
\(=37\times3\times13+6\times13\times14+13\times85-4\times13\times55\)
\(=13\times\left(37\times3+6\times14+85-4\times55\right)\)
\(=13\times\left(111+84+85-220\right)\)
\(=13\times\left(280-220\right)\)
\(=13\times60\)
\(=780\)
c) \(368:16+752:16+480:16\)
\(=\left(368+752+480\right):16\)
\(=\left(1120+480\right):16\)
\(=1600:16\)
\(=100\)
d) \(5\times11\times18+9\times31\times10+4\times29\times45\)
\(=5\times11\times9\times2+9\times31\times10+2\times2\times29\times5\times9\)
\(=10\times9\times11+10\times9\times31+10\times29\times2\times9\)
\(=90\times11+90\times31+90\times29\times2\)
\(=90\times\left(11+31+29\times2\right)\)
\(=90\times\left(42+58\right)\)
\(=90\times100\)
\(=9000\)
bài 1 tính
`a, 45 + 128 + 55 - 28 `
`=(45 +55)+(128-28)`
`=100+ 100`
`=200`
`b, 2022.194 - 2022.94 - 2200`
`=2022.(194-94)-2200`
`=2022.100-2200`
`=202200-2200`
`=200000`
`c, 2^3 .2 -3^4 :3^2`
`=2^(3+1) - 3^(4:2)`
`=2^4 - 3^2`
`=16-9`
`=7`
`d, 560 : { 130 - [( 5 . 14 - 65 ) . 3 + 3 ]}`
`= 560 : { 130 - [(70-65) . 3 + 3 ]}`
`= 560 : [ 130 - (5 . 3 + 3 )]`
`= 560 : [ 130 - (15+3) ]`
`= 560 :(130-18)`
`=560: 112`
`=5`
1a) 25 .8 - 12.5 + 272 :17 - 8
= 200 - 60 + 16 - 8
= 140+16-8
= 156 - 8
= 148
b) 125: 25 +14 - 142 : 71
= 5 + 14 - 2
= 19 - 2 = 17
c) 13. 17 - 256: 16 + 14 : 7 - 1
= 221 - 16 + 2 - 1
= 205 + 2 - 1
= 207 - 1 = 206
d) 15 . 24 - 14 . 5 (145 : 5 - 27)
= 360 - 70 (29- 27)
= 360 - 70 . 2
= 360 - 140
= 220
2a) 37 + x = 55
x= 55 - 37
x = 18
b) x- 31 = 24
x = 24 + 31
x = 55
c) 21 (x-11) = 21
x - 11 = 21 : 21
x = 1 +11
x = 12
d ) 9. (x - 29)= 0
x - 29 = 0 :9
x = 29
e) (x - 1954) . 5 = 50
x - 1954 = 50 : 5
x = 1964
f ) 30 . 60 - x = 30
1800 - x = 30
x = 1800 - 30
x = 1770
Viết mỏi tay quá huhuh
Thì vì 3111<3211 mà3211=(25)11 thi bằng 25×11 =255
Câu kia cũng thế
Khi 255va256 đã có chung cơ số thì ta so sánh số mũ so mũ nào lớn hơn thì lũy thừa đó lớn hơn
255<256hay3211<1614
ta thấy 3111<3211<1614<1714
suy ra 3111<1714
[( x,x + 55 ) - 31 ] x 14 = 560
( x,x + 55 ) -31 = 560 : 14
x,x + 55 = 40
x,x = 40 - 55
x,x = -15
(x.x+15) - 31 = 560 : 14
(x.x+15) -31 = 40