6x (5 x X + 35) = 330
6.(5.x+35)=330
\(6.\left(5.x+35\right)=330\)
\(5.x+35=330:6\)
\(5.x+35=55\)
\(5.x=55-35\)
\(5.x=20\)
\(x=20:5\)
\(x=4\)
Bài 6: Tìm X biết :
a) X : [(1800+600) :30] = 560 : (315-35)
b) [(250-50) : 15] : X = (450-60) :130
c) (158- X) : 7 = 20
d) 231-(X - 6) = 1339:13
e) 70-5 (2xX-3) = 45
f)156 - (x +61) = 82
g) 6x(5xX+35) = 330
h) 936 - (4xX +24) =72
a) => x : 80 = 2
=> x = 160
b) => 200/15 : x = 3
=> x = 40/9
c) => 158 - x = 140
=> x = 18
d) => 231 - (x-6) = 103
=> x - 6 = 128
=> x = 134
(6x + 35 ) = 330 : 6
S1= 2/1x2 + 2/2x3 + ...+2/100x101
(6x + 35 ) = 330 : 6
6x+35=55
6x=55-35
6x=20
x=20:6
x=10/3
6.(x+35)=330
6 .( x + 35 ) = 330
=> x + 35 = 330 : 6
=> x + 35 = 55
=> x = 55 - 35
=> x = 20
6.(x + 35) = 330
<=> x + 35 = 330 : 6
<=> x + 35 = 55
<=> x = 55 - 35
<=> x = 20
=> x = 20
Giải các phương trình sau
a)\(x^3+8x=5x^2+4\)
b) \(x^3+3x^2=x+6 \)
c)\(2x+3\sqrt{x}=1\)
4) \(x^4+4x^2+1=3x^3+3x\)
5)\((12x-1)(6x-1)(4x-1)(3x-1)=330\)
a: \(x^3+8x=5x^2+4\)
=>\(x^3-5x^2+8x-4=0\)
=>\(x^3-x^2-4x^2+4x+4x-4=0\)
=>\(x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)=0\)
=>\(\left(x-1\right)\left(x^2-4x+4\right)=0\)
=>\(\left(x-1\right)\left(x-2\right)^2=0\)
=>\(\left[{}\begin{matrix}x-1=0\\\left(x-2\right)^2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
2: \(x^3+3x^2=x+6\)
=>\(x^3+3x^2-x-6=0\)
=>\(x^3+2x^2+x^2+2x-3x-6=0\)
=>\(x^2\cdot\left(x+2\right)+x\left(x+2\right)-3\left(x+2\right)=0\)
=>\(\left(x+2\right)\left(x^2+x-3\right)=0\)
=>\(\left[{}\begin{matrix}x+2=0\\x^2+x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{-1+\sqrt{13}}{2}\\x=\dfrac{-1-\sqrt{13}}{2}\end{matrix}\right.\)
3: ĐKXĐ: x>=0
\(2x+3\sqrt{x}=1\)
=>\(2x+3\sqrt{x}-1=0\)
=>\(x+\dfrac{3}{2}\sqrt{x}-\dfrac{1}{2}=0\)
=>\(\left(\sqrt{x}\right)^2+2\cdot\sqrt{x}\cdot\dfrac{3}{4}+\dfrac{9}{16}-\dfrac{17}{16}=0\)
=>\(\left(\sqrt{x}+\dfrac{3}{4}\right)^2=\dfrac{17}{16}\)
=>\(\left[{}\begin{matrix}\sqrt{x}+\dfrac{3}{4}=-\dfrac{\sqrt{17}}{4}\\\sqrt{x}+\dfrac{3}{4}=\dfrac{\sqrt{17}}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\sqrt{x}=\dfrac{\sqrt{17}-3}{4}\left(nhận\right)\\\sqrt{x}=\dfrac{-\sqrt{17}-3}{4}\left(loại\right)\end{matrix}\right.\)
=>\(x=\dfrac{13-3\sqrt{17}}{8}\left(nhận\right)\)
4: \(x^4+4x^2+1=3x^3+3x\)
=>\(x^4-3x^3+4x^2-3x+1=0\)
=>\(x^4-x^3-2x^3+2x^2+2x^2-2x-x+1=0\)
=>\(x^3\left(x-1\right)-2x^2\left(x-1\right)+2x\left(x-1\right)-\left(x-1\right)=0\)
=>\(\left(x-1\right)\left(x^3-2x^2+2x-1\right)=0\)
=>\(\left(x-1\right)\left(x^3-x^2-x^2+x+x-1\right)=0\)
=>\(\left(x-1\right)^2\cdot\left(x^2-x+1\right)=0\)
=>(x-1)^2=0
=>x-1=0
=>x=1
a.
\(x^3+8x=5x^2+4\)
\(\Leftrightarrow x^3-5x^2+8x-4=0\)
\(\Leftrightarrow\left(x^3-4x^2+4x\right)-\left(x^2-4x+4\right)=0\)
\(\Leftrightarrow x\left(x-2\right)^2-\left(x-2\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)\left(x-2\right)^2=0\)
\(\Rightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)
b.
\(x^3+3x^2-x-6=0\)
\(\Leftrightarrow\left(x^3+x^2-3x\right)+\left(2x^2+2x-6\right)=0\)
\(\Leftrightarrow x\left(x^2+x-3\right)+2\left(x^2+x-3\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2+x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{-1\pm\sqrt{13}}{2}\end{matrix}\right.\)
c.
\(2x+3\sqrt{x}+1=0\)
ĐKXĐ: \(x\ge0\)
Do \(x\ge0\Rightarrow\left\{{}\begin{matrix}2x\ge0\\3\sqrt{x}\ge0\end{matrix}\right.\)
\(\Rightarrow2x+3\sqrt{x}+1>0\)
Pt đã cho vô nghiệm
d.
\(x^4+4x^2+1=3x^3+3x\)
\(\Leftrightarrow x^4-3x^3+4x^2-3x+1=0\)
- Với \(x=0\) ko phải nghiệm
- Với \(x\ne0\) chia cả 2 vế của pt cho \(x^2\)
\(\Rightarrow x^2-3x+4-\dfrac{3}{x}+\dfrac{1}{x^2}=0\)
\(\Leftrightarrow\left(x^2+\dfrac{1}{x^2}+2\right)-3\left(x+\dfrac{1}{x}\right)+2=0\)
\(\Leftrightarrow\left(x+\dfrac{1}{x}\right)^2-3\left(x+\dfrac{1}{x}\right)+2=0\)
Đặt \(x+\dfrac{1}{x}=t\)
\(\Rightarrow t^2-3t+2=0\Rightarrow\left[{}\begin{matrix}t=1\\t=2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{1}{x}=2\\x+\dfrac{1}{x}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x^2-x+1=0\left(vn\right)\\x^2-2x+1=0\end{matrix}\right.\)
\(\Rightarrow x=1\)
Tìm x:
a) 70-5.(2x-3)=45
b) 6.(5.x+35)=330
c)936-(4.x+24)=72
d)(x+1)+(x+3)+(x+5)=30
e)(x+2)+(x+4)+(x+6)+.....+(x+100)=2650
a) 70 - 5.(2x-3)=45
5.(2x-3)=70-45
10x-15 =25
10x =25 +15
10x =40
x =40:10
x = 4
b)6.(5x+35) =330
5x +35 = 330 : 6
5x +35 =55
5x = 55-35
5x = 20
x = 20 : 5
x = 4
c)936-(4.x+24)=72
4x+24 =936 - 72
4x+24 =864
4x = 864 - 24
4x = 840
x = 840 :4
x = 210
d)(x+1)+(x+3)+(x+5)
x+1+x+3+x+5=30
(x+x+x)+(1+3+5) = 30
3x + 9 =30
3x = 30-9
3x =21
x = 21 : 3
x = 7
e)Vì số lượng x bằng số số hạng nên số lượng x là :
(100 - 2) : 2 + 1 = 50 (số x)
Tổng 2 +4+6+8+...+100 là :
(100+2) x 50 : 2 = 2550
Ta có :
50 x + 2550 = 2650
50x = 2650 -2550
50x = 100
x = 100 : 50
x = 2
Tick nghen !
Tìm x:
6+12+8+...+6x=330
231-(x-6)=1339:13
70-5.(2x-3)=45
156-(x+61)=82
6.(5x+35)=330
936-(4x+24)=72
a, \(231-\left(x-6\right)=1339:13\)
\(\Leftrightarrow231-\left(x-6\right)=103\)
\(\Leftrightarrow x-6=128\)
\(\Leftrightarrow x=134\)
Vậy .....
b, \(70-5\left(2x-3\right)=45\)
\(\Leftrightarrow5\left(2x-3\right)=25\)
\(\Leftrightarrow2x-3=5\)
\(\Leftrightarrow2x=8\)
\(\Leftrightarrow x=4\)
Vậy ....
c, \(156-\left(x+61\right)=82\)
\(\Leftrightarrow x+61=74\)
\(\Leftrightarrow x=13\)
Vậy ....
d, \(6\left(5x+35\right)=330\)
\(\Leftrightarrow5x+35=55\)
\(\Leftrightarrow5x=20\)
\(\Leftrightarrow x=4\)
Vậy ......
e, \(936-\left(4x+24\right)=72\)
\(\Leftrightarrow4x+24=864\)
\(\Leftrightarrow4x=840\)
\(\Leftrightarrow x=210\)
Vậy ...
231-(x-6)=1339:13
237-x=103
=>x=237-103=134
Vậy x=134
70-5(2x-3)=45
70-10x+15=45
=>-10x=45-15-70=-40
=>x=4
Vậy x=4
Các caau sau tương tự nhé bn
a, 231 - ( x - 6 ) = 1339 : 13
231 - ( x -6 ) = 103
x - 6 = 231 - 103 = 128
x = 128 + 6 = 134
b, 70 - 5 (2x -3 ) = 45
5 ( 2x -3 ) = 70 - 45 = 25
( 2x -3 ) = 25 : 5 = 5
2x = 5 + 3 = 8
x = 8 : 2 = 4
c, 156 - ( x + 61 ) = 82
x + 61 = 156 - 82 =74
x = 74 - 61
x = 13
d, 6 ( 5x + 35 ) = 330
5x + 35 = 330 : 6 = 55
5x = 55 - 35 = 20
x = 20 : 5 = 4
e, 936-(4x+ 24 ) = 72
4x + 24 = 936 - 72 = 864
4x = 864 - 24 = 840
x = 840 : 4 = 210
Chuc ban hoc tot nhe
tìm x
70-5 .(2x-3) =45
156 -(x cộng 61 ) =82
6.(5x cộng 35) =330
936- (4x cộng 24) =72
a) \(70-5\left(2x-3\right)=45\)
\(70-10x+15=45\)
\(-10x=45-70-15\)
\(-10x=-40\)
\(x=4\)
vay \(x=4\)
b) \(156-\left(x+61\right)=82\)
\(x+61=156-82\)
\(x+61=74\)
\(x=74-61\)
\(x=13\)
vay \(x=13\)
c) \(6\left(5x+35\right)=330\)
\(30x+210=330\)
\(30x=330-210\)
\(30x=120\)
\(x=4\)
vay \(x=4\)
d) \(936-\left(4x+24\right)=72\)
\(4x+24=936-72\)
\(4x+24=864\)
\(4x=864-24\)
\(4x=840\)
\(x=210\)
vay \(x=210\)
\(70-5.\left(2x-3\right)\)\(=45\)
\(5.\left(2x-3\right)\)\(=\)\(70-45\)
\(5.\left(2x-3\right)\)\(=25\)
\(2x-3=25:5\)
\(2x-3=5\)
\(2x=8\)
\(x=8:2\)
\(x=4\)
\(156-\left(x+61\right)\)\(=82\)
\(x+61=156-82\)
\(x+61=74\)
\(x=74-61\)
\(x=13\)
\(6.\left(5x+35\right)\)\(=330\)
\(5x+35=330:6\)
\(5x+35=55\)
\(5x=55-35\)
\(5x=20\)
\(x=20:5\)
\(x=4\)
\(936-\left(4x+24\right)\)\(=72\)
\(4x+24=936-72\)
\(4x+24=864\)
\(4x=864-24\)
\(4x=840\)
\(x=840:4\)
\(x=210\)
Tìm x :
a) 70 - 5 . ( 2x - 3 ) = 45
5 . ( 2x - 3 ) = 70 - 45
5 . ( 2x - 3 ) = 25
2x - 3 = 25 : 5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8 : 2
x = 4
b) 156 - ( x + 61 ) = 82
x + 61 = 156 - 82
x + 61 = 74
x = 74 - 61
x = 13
c) 6 . ( 5x + 35 ) = 330
5x + 35 = 330 : 6
5x + 35 = 55
5x = 55 - 35
5x = 20
x = 20 : 5
x = 4
d) 936 - ( 4x + 24 ) = 72
4x + 24 = 936 - 72
4x + 24 = 364
4x = 364 - 24
4x = 340
x = 340 : 4
x = 85