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\(\frac{8}{5}=\frac{-12}{x}\left(x\ne0\right)\)\(\Leftrightarrow8x=-60\)\(\Leftrightarrow x=\frac{-60}{8}=\frac{-15}{2}\)(tmđk)
\(\frac{x-1}{-4}=\frac{-4}{x-1}\left(x\ne1\right)\)\(\Leftrightarrow\left(x-1\right)^2=16\)\(\Leftrightarrow\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=5\left(tm\right)\\x=-3\left(tm\right)\end{cases}}}\)
\(\frac{8}{5}=\frac{-12}{x}\)
\(\Rightarrow8x=-60\)
\(x=-60:8\)
\(x=-7,5\)
Vậy x=-7,5
\(\frac{x-1}{-4}=\frac{-4}{x-1}\)
\(\Rightarrow\left(x-1\right)^2=16\)
\(\left(x-1\right)^2=4^2\)
\(\Rightarrow\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4+1=5\\x=-4+1=-3\end{cases}}\)
vậy x=5 hoặc x=-3
`(x - 2)/3 = (x + 1)/4`
`(x - 2) . 4 = (x + 1) . 3`
`<=> 4x - 8 = 3x + 3`
`<=> 4x - 3x = 3 + 8`
`<=> (4 - 3)x = 11`
`=> x = 11`
`=>` `x = 11`
1) B = 2 + 4 + 6 + .... +80
Số hạng của B là:
(80 - 2) : 2 + 1 = 40(số)
Tổng B là:
(80 + 2) x 40 : 2 = 1640
Tích nha
Bài 1:a)A=(12 + 7)x 3 - (80 -36):4 + 15
=19*3-44:4+15
=57-11+15
=61
b)có ng lm rồi nhé
c)C =1+ 4 +7 +........+61
Tổng trên có số số hạng là:
(61-1):3+1=21 (số)
Tổng C là:
(61+1)*21:2=651
Đáp số:..
Bài 2:
a)X - 15 = 30: 3 +1
=>x-15=10+1
=>x-15=11
=>x=26
b)12 -(X- 1) =8
=>12-x+1=8
=>13-x=8
=>x=5
c)10-(X +1 ) *2 =4
=>2x+2=6
=>2x=4
=>x=2
d)X *(X +1) =6
=>x2+x-6=0
=>x2-2x+3x-6=0
=>x(x-2)+3(x-2)=0
=>(x-2)(x+3)=0
=>x=2 hoặc x=-3
\(a)\) \(-\left(x+84\right)+213=-16\)
\(\Leftrightarrow\)\(-x-84+213=-16\)
\(\Leftrightarrow\)\(x=213-84+16\)
\(\Leftrightarrow\)\(x=145\)
Vậy \(x=145\)
\(b)\) \(\left(x-1\right)^2=\left|\frac{1}{4}-\frac{1}{2}-\frac{3}{4}\right|\)
\(\Leftrightarrow\)\(\left(x-1\right)^2=\left|-1\right|\)
\(\Leftrightarrow\)\(\left(x-1\right)^2=1\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x-1=1\\x-1=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=0\end{cases}}}\)
Vậy \(x=0\) hoặc \(x=2\)
Chúc bạn học tốt ~
a) \(-\left(x+84\right)+213=-16\)
\(-\left(x+84\right)=-16-213\)
\(-\left(x+84\right)=-229\)
\(\Rightarrow x+84=229\)
\(\Rightarrow x=229-84=145\)
Vậy \(x=145\)
b) \(\left(x-1\right)^2=\left|\frac{1}{4}-\frac{1}{2}-\frac{3}{4}\right|\)
\(\left(x-1\right)^2=\left|\frac{-1}{4}-\frac{3}{4}\right|\)
\(\left(x-1\right)^2=\left|-1\right|\)
\(\left(x-1\right)^2=1\)
\(\Rightarrow\orbr{\begin{cases}x-1=1\\x-1=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1+1=2\\x=-1+1=0\end{cases}}\)
Vậy \(x\in\left\{0;2\right\}\)
\(a)\frac{-84}{14}< 3x< \frac{108}{9}\)
\(\Rightarrow-6< 3x< 12\)
\(\Rightarrow-2< x< 4\)
\(\Rightarrow x=3\)
\(c)\frac{x-1}{9}=\frac{8}{3}\)
\(\Rightarrow x-1=\frac{8}{3}\cdot9\)
\(\Rightarrow x-1=24\)
\(\Rightarrow x=25\)
\(d)\frac{-x}{4}=\frac{-9}{x}\)
\(\Rightarrow(-x)\cdot x=(-9)\cdot4\)
\(\Rightarrow-x^2=-36\)
\(\Rightarrow x=\pm6\)
\(e)\frac{x}{4}=\frac{18}{x+1}\)
\(\Rightarrow x(x+1)=18\cdot4\)
\(\Rightarrow x(x+1)=72\)
\(\Rightarrow x(x+1)=8\cdot9=(-9)\cdot(-8)\)
Do đó : x = 8 hoặc x = -9
a/ 321 + 2(x -4) = 2017
2(x -4) =1696
x-4=848
x=852
b/ 48 - 3(x +5) =24
3(x +5)=24
x+5=8
x=3
c/1230 : 3(x-20) = 10
3(x-20)=123
x-20=41
x=61
d/2x - 238 = 2^3 x 3^2
2x - 238 =72
2x=200
x=100
a) \(321+2\left(x-4\right)=2017\)
\(2x-8=2017-321\)
\(2x-8=1696\)
\(2x=1704\)
\(x=852\)
vay \(x=852\)
b) \(48-3\left(x+5\right)=24\)
\(3x+15=48-24\)
\(3x+15=24\)
\(3x=9\)
\(x=3\)
vay \(x=3\)
c) \(1230:3\left(x-20\right)=10\)
\(3x-60=1230:10\)
\(3x-60=123\)
\(3x=183\)
\(x=61\)
vay \(x=61\)
d) \(2x-238=2^3.3^2\)
\(2x-238=8.9\)
\(2x-238=72\)
\(2x=310\)
\(x=155\)
vay \(x=155\)
a) 4.(x + 2) = 2 .(x - 1) + 4
=> 4x + 8 = 2x - 2 + 4
=> 4x + 8 = 2x + 2
=> 4x - 2x = 2 - 8
=> 2x = -6
=> x = -3
b) (x + 1) + ( 2x + 2) + (3x + 3) + ( 4x + 4) = 80
=> (x + 2x + 3x + 4x ) + (1 + 2 + 3 + 4) = 80
=> 10x + 10 = 80
=> 10x = 70
=> x = 7
a, 4.(x+2) = 2.(x-1) +4
4x +8 = 2x-2+4
4x-2x =-2+4-8
2x = -6
x = -3
b, (x+1)+(2x+2)+ ( 3x+3) + ( 4x+4) =80
(x+1)+ 2 .(x+1) +3. (x+1) +4. (x+1) =80
(1+2+3+4) (x+1)=80
10.(x+1) =80
x+1 =8
x=7
a) \(4^x+4^{x+1}=80\)
\(\Rightarrow4^x+4^x.4=80\)
\(\Rightarrow4^x.\left(1+4\right)=80\)
\(\Rightarrow4^x.5=80\)
\(\Rightarrow4^x=16\)
\(\Rightarrow4^x=4^2\)
\(\Rightarrow x=2\)
Vậy x = 2