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a) 2/7 + x = -0,75
x= - 3/4 - 2/7
x= 21/28 - 8/28
x = 13/28
Vậy x = 13/28
b) -4 1/5 - x = 2,25
-21/5 - x = 2,25
-x = 2,25 + 21/5
-x = 45/20 + 21/5
-x = 45/20 + 84/20
-x = 84/20
x = -84/20
Vậy x = -84/20
c) x : 8,5 = -2,2
x = -2,2 . 8,5
x = -18,7
Vậy x = -18,7
d) ( 2x/5 - 1 ) : ( -5 ) = 1/7
2x/5 - 1 = 1/7 . ( -5 )
2x/5 - 1 = -5/7
2x/5 = -5/7 + 1
2x/5 = -5/7 + 7/7
2x/5 = 2/7
x = 2/7 : 2/5
x = 2/7 . 5/2
x = 5/7
Vậy x = 5/7
\(17.8+51.4=34.4+51.4=4\left(51+34\right)=4.84=336\) \(2.2.3.5.19=\left(2.5\right).\left(3.19\right).2=10.2.57=570.2=1140\) \(54.275+825.15+275=54.275+45.275+275=275\left(54+45+1\right)=100.275=27500\) \(\frac{167.198+98}{198.168-100}=\frac{167.198+98}{198.167+198-100}=\frac{167.198+98}{167.198+98}=1\)
\(\frac{1}{n}-\frac{1}{n+k}=\frac{k}{n\left(n+k\right)}\Rightarrow\frac{1}{1.2}+\frac{1}{2.3}+.....+\frac{1}{2019.2020}=1-\frac{1}{2}+\frac{1}{2}-....-\frac{1}{2020}=1-\frac{1}{2020}=\frac{2019}{2020}\)
a) 17 x 8 + 51 x 4
= 17 x 4 x 2 + 17 x 3 x 4
= 17 x 4 x ( 2 + 3 )
= 14 x 4 x 5
= 14 x 20
= 280
b) 2 x 2 x 3 x 5 x 19
= ( 2 x 5 ) x ( 3 x 19 ) x 2
= 10 x 57 x 2
= 570 x 2
= 1140
c) 54 x 275 + 825 x 15 + 275
= 54 x 275 + 275 x 3 x 15 + 275 x 1
= 54 x 275 + 275 x 45 + 275 x 1
= 275 x ( 54 + 45 + 1 )
= 275 x 100
= 27500
d) 100 - 99 + 98 - 97 + 96 - 95 + 94 - 93 + ... + 4 - 3 + 2
= (100 - 99) + (98 - 97) + (96 - 95) + (94 - 93) + ... + (4 - 3) + 2
= (1 + 1 + ... + 1) + 2
( 49 số 1 )
= 49 + 2
= 51
k) 1,5 + 2,5 + 3,5 + 4,5 + 5,5 + 6,5 + 7,5 + 8,5
= ( 1,5 + 8,5 ) + ( 2,5 + 7,5 ) + ( 3,5 + 6,5 ) + ( 4,5 + 5,5 )
= 10 + 10 + 10 + 10
= 40
a) 11 1/4- 2 5/7 - 5 1/4
11 1/4 - 5 1/4 - 2 5/7
( 11 -5) + ( 1/4 -1/4) -2 5/7
6 +0 -2 5/7
6- 2 5/7
5+1 - 2 5/7
( 5-2) + ( 1-5/7)
3+( 7/7 -5/7)
3 + 2/7
3 2/7
3+
a) -5(x - 3) - 2(5 - 3x) = -(x - 1)
=> -5x + 15 - 10 + 6x = -x + 1
=> x + 5 = -x + 1
=> x + x = 1 - 5
=> 2x = -4
=> x = -4 : 2
=> x = -2
\(-5\left(x-3\right)-2\left(5-3x\right)=-\left(x-1\right)\)
\(\Leftrightarrow-5x+15-10+6x=-x+1\)
\(\Leftrightarrow x+5=1-x\)
\(\Leftrightarrow2x=-4\)
\(\Leftrightarrow x=-4\div2\)
\(\Leftrightarrow x=-2\)
Bài 1 tự làm!
Bài 2:
a, \(\left(3x-4\right)\left(x-1\right)^3=0\Rightarrow\left[{}\begin{matrix}3x-4=0\\\left(x-1\right)^3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=1\end{matrix}\right.\)
b, \(2^{2x-1}:4=8^3\Rightarrow2^{2x-1}:2^2=2^9\)
\(\Rightarrow2x-1-2=9\Rightarrow2x-3=9\Rightarrow2x-12\Rightarrow x=6\)
c, Đề chưa rõ
d, \(\left(x+2\right)^5=2^{10}\Rightarrow\left(x+2\right)^5=4^5\Rightarrow x+2=4\Rightarrow x=2\)
e, \(\left(3x-2^4\right).7^3=2.7^4\Rightarrow3x-2^4=2.7^4:7^3\Rightarrow3x-16=2.7=14\)
\(\Rightarrow3x=14+16=30\Rightarrow x=\dfrac{30}{3}=10\)
f, \(\left(x+1\right)^2=\left(x+1\right)^0\Rightarrow\left(x+1\right)^2=1\) (vì x0 = 1)
\(\Rightarrow x+1=1\Rightarrow x=0\)

a) x - 1/4 = 2/5
Vậy, x = 13/20.
b) x + 3,12 = 14,6 - 8,5
Vậy, x = 2,98.
a, x- 1/4 = 2/5
=> x = 2/5 + 1/4
=> x = 13/20
Vậy x = 13/20
b, x + 3,12 = 14,6 - 8,5
=> x + 3,12 = 6,1
=> x = 6,1 - 3,12
=> x = 2,98
Vậy x =2,98
\(a;x-\dfrac{1}{4}=\dfrac{2}{5}\\ \Rightarrow x=\dfrac{2}{5}+\dfrac{1}{4}\\ \Rightarrow x=\dfrac{13}{20}\\ b;x+3,12=14,6-8,5\\ \Rightarrow x+3,12=6,1\\ \Rightarrow x=6,1-3,12\\ \Rightarrow x=2,98\)
(2)Cop từ công cụ thứ 3 thì ghi giùm tớ hai từ "Tham khảo" ạ!
(2)Cop từ công cụ thứ 3 thì ghi giùm tớ hai từ "Tham khảo" ạ!
a, x- 1/4 = 2/5
=> x = 2/5 + 1/4
=> x = 13/20
Vậy x = 13/20
b, x + 3,12 = 14,6 - 8,5
=> x + 3,12 = 6,1
=> x = 6,1 - 3,12
=> x = 2,98
Vậy x =2,98