tìm x, biết
a. 2x-20= 35:32
b.525 . 5x+1=525
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a) 400 - 5x = 200
5x = 200
x = 40
b) 250 : x + 10 = 20
250 : x = 10
x = 25
c) 96 - 3 ( x + 8 ) = 42
3 ( x + 8 ) = 54
( x + 8 ) = 54 : 3
x + 8 = 18
x = 18 - 8
x = 10
d) 36 : ( x - 5 ) = 22
36 : ( x - 5 ) = 4
x - 5 = 36 : 4
x - 5 = 9
x = 9 + 5
x = 14
e) 15 x 5 ( x - 35 ) - 525 = 0
75 ( x - 35 ) - 525 = 0
75 ( x - 35 ) = 525
x - 35 = 7
x = 7 + 35
x = 42
f) [ 3 x ( 70 - x ) + 5 ] : 2 = 46
[ 3 x ( 70 - x ) + 5 ] = 92
3 x ( 70 - x ) = 87
70 - x = 87 : 3
70 - x = 29
x = 41
\(a,\Leftrightarrow25x^2-70x+49-25x^2=32\\ \Leftrightarrow-70x=-17\Leftrightarrow x=\dfrac{17}{70}\\ b,\Leftrightarrow x^2-6x+9+x^2+2x+1-5=0\\ \Leftrightarrow2x^2-4x+5=0\\ \Leftrightarrow2\left(x^2-2x+1\right)+3=0\\ \Leftrightarrow2\left(x-1\right)^2=-3\Leftrightarrow\left(x-1\right)^2=-\dfrac{3}{2}\left(\text{vô lí}\right)\\ \Leftrightarrow x\in\varnothing\)
Bài 1
S₂ = 21 + 23 + 25 + ... + 1001
Số số hạng của S₂:
(1001 - 21) : 2 + 1 = 491
⇒ S₂ = (1001 + 21) . 491 : 2 = 250901
--------
S₄ = 15 + 25 + 35 + ... + 115
Số số hạng của S₄:
(115 - 15) : 10 + 1 = 11
⇒ S₄ = (115 + 15) . 11 : 2 = 715
Bài 2
a) 2x - 138 = 2³.3²
2x - 138 = 8.9
2x - 138 = 72
2x = 72 + 138
2x = 210
x = 210 : 2
x = 105
b) 5.(x + 35) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 78
c) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305
x = 407
d) 20 - [7.(x - 3) + 4] = 2
7(x - 3) + 4 = 20 - 2
7(x - 3) + 4 = 18
7(x - 3) = 18 - 4
7(x - 3) = 14
x - 3 = 14 : 7
x - 3 = 2
x = 2 + 3
x = 5
e) 9ˣ⁻¹ = 9
x - 1 = 1
x = 1 + 1
x = 2
\(\left(2x+1\right):7=2^2+3^2 \)
\(\Leftrightarrow\left(2x+1\right):7=13\)
\(\Leftrightarrow2x+1=13.7\)
\(\Leftrightarrow2x+1=91\)
\(\Leftrightarrow2x=90\)
\(\Leftrightarrow x=45\)
\(400-x.3=100\)
\(\Leftrightarrow-x.3=400-100\)
\(\Leftrightarrow-x.3=300\)
\(\Leftrightarrow-x=300:3\)
\(\Leftrightarrow x=100\)
\(96-3\left(x+8\right)=42\)
\(\Leftrightarrow3\left(x+8\right)=96-42\)
\(\Leftrightarrow3\left(x+8\right)=54\)
\(\Leftrightarrow x+8=54:3\)
\(\Leftrightarrow x+8=18\)
\(\Leftrightarrow x=10\)
\(15.5\left(x-35\right)-525=0\)
\(\Leftrightarrow75\left(x-35\right)-525=0\)
\(\Leftrightarrow75\left(x-35\right)=525\)
\(\Leftrightarrow75x-2625=525\)
\(\Leftrightarrow75x=525+5625\)
\(\Leftrightarrow75x=3150\)
\(\Leftrightarrow x=42\)
- Chúc bạn làm bài tốt !
525 + 525 x 3 + 998 x 525 - 525 x 2
= 525 x 4 + 523950 - 1050
= 2100 + 522900
= 525000
525 + 525 x 3 + 998 x 525 - 525 x 2
= 525 x 1 + 525 x 3 + 998 x 525 - 525 x 2
= 525 x (1 + 3 + 998 - 2)
=525 x 1000
=525000
a, y + 37m\(^2\) + 13m\(^2\) = 91dam\(^2\)
=> y + 37m\(^2\) + 13m\(^2\) = 9100m\(^2\)
=> y = 9100m\(^2\) - 37m\(^2\) - 13m\(^2\)
=> y = 9050m\(^2\) = 90500000cm\(^2\)
b, (5 + 20) x y = 525m\(^2\)
=> 25 x y = 525m\(^2\)
=> y = 525m\(^2\) : 25
=> y = 21m\(^2\) = 210000cm\(^2\)
a: =1250:25=50
b: =234(45+55)+234=23400+234=23634
c: =1000x1000=1000000
\(a,\Rightarrow2^{2x-5}=2^5\Rightarrow2x-5=5\Rightarrow x=5\\ b,\Rightarrow4^{2x-1}=4^3\Rightarrow2x-1=3\Rightarrow x=2\\ c,\Rightarrow\left[{}\begin{matrix}2x+2=11\\2x+2=-11\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{9}{2}\\x=-\dfrac{13}{2}\end{matrix}\right.\\ d,\Rightarrow2^{x^3}=256=2^8\Rightarrow x^3=8\Rightarrow x=2\)
a)
\(2^{2x-5}=2^5\)
2x-5=5
2x=10
x=5
b)
\(4^{2x-1}=4^3\)
2x-1=3
2x=4
x=2
c)
\(\left(2x+2\right)^2=11^2\)
2x+2=11
2x=9
x=9/2
a, 2x - 20 = 35 : 32
=> 2x - 1 = 33
=> 2x - 1 = 27
=> 2x = 28
=> x = 14
b, 525.5x + 1 = 525
=> 525+x+1 = 525
=> 25 + x + 1 = 25
=> 26 + x = 25
=> x = -1
a. 2x - 20 = 35 : 32
2x - 1 = 33
2x = 27 + 1
2x = 28
x = 28 : 2
x = 14.