a)142.42 - (7.52 + 4.x) = (43.157):42
b)[(7x + 23) : 62 - 522] :29 = 182
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a) \(142\cdot4^2-\left(7\cdot5^2+4x\right)=\left(4^3\cdot157\right):4^2\)
\(\Leftrightarrow142\cdot16-\left(7\cdot25+4x\right)=\left(64\cdot157\right):16\)
\(\Leftrightarrow2272-\left(175+4x\right)=10048:16\)
\(\Leftrightarrow2272-145-4x=628\)
\(\Leftrightarrow2097-4x=628\)
\(\Leftrightarrow-4x=-1469\)
\(\Leftrightarrow x=\dfrac{1469}{4}\)
Vậy \(x=\dfrac{1469}{4}\)
b) \(\left[\left(7x+23\right):6^2-5^2\right]:29=18^2\)
\(\Leftrightarrow\left(\dfrac{7x+23}{6^2}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\left(\dfrac{7x+23}{36}-25\right)\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x+23-900}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{36}\cdot\dfrac{1}{29}=18\)
\(\Leftrightarrow\dfrac{7x-877}{1044}=18\)
\(\Leftrightarrow7x-877=18792\)
\(\Leftrightarrow7x=18792+877\)
\(\Leftrightarrow7x=19669\)
\(\Leftrightarrow x=\dfrac{19669}{7}\)
a: \(\Leftrightarrow142\cdot16-7\cdot25-4x=4\cdot157\)
\(\Leftrightarrow2097-4x=628\)
=>4x=1469
hay x=1469/4
b: \(\Leftrightarrow\left[\left(7x+23\right):36-2704\right]=324\cdot29=9396\)
\(\Leftrightarrow\left(7x+23\right):36=12100\)
=>7x+23=435600
=>7x=435577
hay x=435577/7
25-{14-[(2-x)-(x+13)+23]}=62-{8-[(2x-10)-(29-3x)+8]}
<=>25-14+2-x-x-13+23=62-8+2x-10-29+3x+8
<=>13-x-x-13+23=2x+3x+8-10-29
<=>-x-x+23=2x+3x+(-31)
<=>23-(x+x)=2x+2x-31
<=>23-2x=2x+3x-31
<=>23+31=2x+2x+3x
<=>54=x(2+2+3)
<=>54=x.7
=>x=54/7
Vậy x=54/7
<=>54=x.7
a) 142.16-(7.25+4x) = (64.157) :16
142.16-(7.25+4x)=10048:16
142.16-(7.25+4x)=628
2272-(175+4x)=628
175+4x=2272-628
175+4x=1644
4x=1644-175
4x=1469
x=1469:4
x=367,25
b, [(7x+23):36-25]:29=324
(7x+23):36-25=324.29
(7x+23):36-25=9396
(7x+23):36=9396+25
(7x+23):36=9421
7x+23=9421.36
7x+23=339156
7x=339156-23
7x=339133
x=339133:7
x=48447,57143
a) \(\left(3x-1\right)^2-\left(x+3\right)^2=0\)
\(=>\left(3x-1+x+3\right)\left(3x-1-x-3\right)=0\)
\(=>\left(4x+2\right)\left(2x-4\right)=0\)
\(=>4\left(2x+1\right)\left(x-2\right)=0\)
\(=>\orbr{\begin{cases}2x+1=0\\x-2=0\end{cases}}\)
\(=>\orbr{\begin{cases}x=-\frac{1}{2}\\x=2\end{cases}}\)
b)\(x^3-\frac{x}{49}=0=>x\left(x^2-\frac{1}{49}\right)=0=>x\left(x-\frac{1}{7}\right)\left(x+\frac{1}{7}\right)=0\)
\(=>x=0\)hoặc \(x=\frac{1}{7}\) hoặc \(x=-\frac{1}{7}\)
a)\(\(\left(3x-1\right)^2-\left(x+3\right)^2=0\)\)
\(\(\Leftrightarrow\left(3x-1-x-3\right)\left(3x-1+x+3\right)=0\)\)
\(\(\Leftrightarrow\left(2x-4\right)\left(4x+2\right)=0\)\)
\(\(\Leftrightarrow\orbr{\begin{cases}2x-4=0\\4x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-\frac{1}{2}\end{cases}}}\)\)
b)\(\(x^3-\frac{x}{49}=0\)\)
\(\(\Leftrightarrow\frac{49x^3-x}{49}=0\)\)
\(\(\Leftrightarrow x\left(49x^2-1\right)=0\)\)
\(\(\Leftrightarrow\orbr{\begin{cases}x=0\\49x^2-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\\left(7x-1\right)\left(7x+1\right)=0\end{cases}}}\)\)\
\(\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{1}{7};x=-\frac{1}{7}\end{cases}}\)\)
c)\(\(x^2-7x+12=0\)\)
\(\(\Leftrightarrow\left(x-4\right)\left(x-3\right)=0\)\)
\(\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x-3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=4\\x=3\end{cases}}}\)\)
d) \(\(4x^2-3x-1=0\)\)
\(\(\Leftrightarrow4x^2-4x+x-1=0\)\)
\(\(\Leftrightarrow4x\left(x-1\right)+\left(x-1\right)=0\)\)
\(\(\Leftrightarrow\left(x-1\right)\left(4x+1\right)=0\)\)
\(\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\4x+1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-\frac{1}{4}\end{cases}}}\)\)
e) Tham khảo tại : [Toán 8]Giải phương trình | Cộng đồng học sinh Việt Nam - HOCMAI Forum
https://diendan.hocmai.vn/threads/toan-8-giai-phuong-trinh.290061/
_Y nguyệt_
182 x 29 + 182 x 45 - 182 x 4 + 182 x 30
= 182 x ( 29 + 45 - 4 + 30 )
= 182 x 100
= 18200
nếu mk đúng mk nhé thanks mn nhìu ạ kb đi