6x (5 x X + 35) = 330
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30 tháng 8 2015
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
VH
1
NV
21 tháng 7 2019
6 .( x + 35 ) = 330
=> x + 35 = 330 : 6
=> x + 35 = 55
=> x = 55 - 35
=> x = 20
16 tháng 1 2024
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
NV
Nguyễn Việt Lâm
Giáo viên
16 tháng 1 2024
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.
\(x^3+3x^2-x-6=0\)
\(\Leftrightarrow\left(x^3+x^2-3x\right)+\left(2x^2+2x-6\right)=0\)
\(\Leftrightarrow x\left(x^2+x-3\right)+2\left(x^2+x-3\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2+x-3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{-1\pm\sqrt{13}}{2}\end{matrix}\right.\)
21 tháng 9 2015
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 !
2 tháng 9 2017
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 ...
2 tháng 9 2017
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
HT
11 tháng 9 2017
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 \(x=210\)
11 tháng 9 2017
\(70-5.\left(2x-3\right)\)\(=45\)
\(5.\left(2x-3\right)\)\(=\)\(70-45\)
\(5.\left(2x-3\right)\)\(=25\)
\(2x-3=25:5\)
\(2x-3=5\)
\(2x=8\)
\(x=8:2\)
\(x=4\)
\(156-\left(x+61\right)\)\(=82\)
\(x+61=156-82\)
\(x+61=74\)
\(x=74-61\)
\(x=13\)
\(6.\left(5x+35\right)\)\(=330\)
\(5x+35=330:6\)
\(5x+35=55\)
\(5x=55-35\)
\(5x=20\)
\(x=20:5\)
\(x=4\)
\(936-\left(4x+24\right)\)\(=72\)
\(4x+24=936-72\)
\(4x+24=864\)
\(4x=864-24\)
\(4x=840\)
\(x=840:4\)
\(x=210\)
`@` `\text {Ans}`
`\downarrow`
\(6\times\left(5\times x+35\right)=330\)
`\Rightarrow 5 \times x + 35 = 330 \div 6`
`\Rightarrow 5 \times x + 35 = 55`
`\Rightarrow 5 \times x = 55 - 35`
`\Rightarrow 5 \times x = 20`
`\Rightarrow x = 20 \div 5`
`\Rightarrow x=4`
Vậy, `x=4.`
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