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-79 - 9.(2x - 1)2 = -160
9.(2x - 1)2 = -79 - (-160)
9.(2x - 1)2 = 81
(2x - 1)2 = 81 : 9
(2x - 1)2 = 9
(2x - 1)2 = 32
\(\Rightarrow\) 2x - 1 = 3
2x = 3 + 1
2x = 4
x = 4 : 2
x = 2
Vậy x = 2
Ta có:\(\dfrac{x-1}{79}=\dfrac{-28}{1-x}\)
\(\Rightarrow\left(x-1\right)\left(1-x\right)=-28.79\)
\(\Rightarrow\left(x-1\right).1-\left(x-1\right)x=-2212\)
\(\Rightarrow x-1-x^2+x=-2212\)
\(\Rightarrow x+x-x^2=-2211\)
\(\Rightarrow2x-x^2=-2211\)
\(\Rightarrow x\left(2-x\right)=-2211\)
...
\(\dfrac{x-1}{79}=\dfrac{-28}{1-x}\)
\(\Leftrightarrow\left(x-1\right)\left(1-x\right)=\left(-28\right).79\)
\(\Leftrightarrow x\left(1-x\right)-1\left(1-x\right)=-2212\)
\(\Leftrightarrow x-x^2-1-x=-2212\)
\(\Leftrightarrow-x^2-1=-2212\)
\(\Leftrightarrow-x^2=-2211\)
\(\Leftrightarrow x^2=2211\)
\(\Leftrightarrow x=\sqrt{2211}\)
a) \(3x-18.28:14=308\)
\(=>3x-36=308\)
\(=>3x=344\)\(\)
\(=>x=\frac{344}{3}\)
\(\)b)\(38+\left|x\right|=\left(-12\right)+65\)
\(=>38+\left|x\right|=53=>\left|x\right|=15=>\orbr{\begin{cases}x=15\\x=-15\end{cases}}\)
c)\(15+3.\left(x-1\right):5=30\)
\(=>15+3.\left(x-1\right)=150\)
\(=>3.\left(x-1\right)=135\)
\(x-1=45=>x=46\)
d) \(5.\left(7-3x\right)+7.\left(2+2x\right)=1\)
\(=>35-15x+14+14x=1\)
\(=>49-x=1=>x=48\)
e)\(3.\left(x-7\right)=21\)
\(=>x-7=7=>x=14\)
g)\(\left[\left(6x-72\right):2-84\right]:28=5628\)
\(\left(6x-72\right):2-84=157584\)
\(\left(6x-72\right):2=157668\)
\(6x-72=315336\)
\(6x=315408=>x=52568\)
h)\(123-5\left(x+4\right)=28\)
\(5.\left(x+4\right)=95\)
\(x+4=19=>x=15\)
p)\(14.\left(x-3\right)-138=73\)
\(14.\left(x-3\right)=211\)
\(x-3=\frac{211}{14}=>x=\frac{253}{14}\)
\(t\)
\(\left|x\right|-5=2\)
\(\left|x\right|=7=>\orbr{\begin{cases}x=7\\x=-7\end{cases}}\)
v)\(4x-72=\left|100-8.25\right|\)
\(4x-72=\left|-100\right|\)
\(4x-72=100=>4x=172=>x=43\)
cậu có thể tham khảo bài làm trên đây ạ, chúc cậu học tốt ^^
16+3(x-7)=43
3(x-7)=43-16
a,3(x-7)=27
x-7=27:3
x-7=9
x=9+7
x=16
b,28-2(x+5)=14
2(x+5)=28-14
2(x+5)=14
x+5=14:2
x+5=7
x=7-5
x=2
a) <-->\(3\left(x-7\right)=43-16\)
<--> \(3x-21=27\)
<--> \(3x=27+21\)
<--> \(3x=48\)
<--> \(x=16\)
b) <--> \(-2\left(x+5\right)=14-28\)
<--> \(-2\left(x+5\right)=-14\)
<--> \(-2x-10=-14\)
<--> \(-2x=-14+10\)
<--> \(-2x=-4\)
<--> \(x=2\)
a, đk : x khác 10 \(\Rightarrow x-10=26\Leftrightarrow x=36\left(tm\right)\)
b, đk : x khác 2
\(\left(x-2\right)^2=100\Leftrightarrow\left[{}\begin{matrix}x-2=10\\x-2=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-8\end{matrix}\right.\left(tm\right)\)
28 . 178 - 14 . 2 . 79 + 7.4
⇒ 28 . 178 - 28 . 79 + 28 . 1
⇒ 28 . ( 178 - 79 + 1 )
⇒ 28 . 100
⇒ 2800
28 \(\times\) 178 - 14 \(\times\) 2 \(\times\) 79 + 7 \(\times\) 4
= 28 \(\times\) 178 - 28 \(\times\) 79 + 28 \(\times\) 1
= 28 \(\times\) (178 - 79 + 1)
= 28 \(\times\) {(178 + 1) - 79)}
= 28 \(\times\) { 179 - 79}
= 28 \(\times\) 100
= 2800