lm từng bước giúp mk nhé, cảm ơn
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\left(2x-4\right)\left(x-2\right)^3=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-4=0\\\left(x-2\right)^3=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=4\\x-2-0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=2\end{matrix}\right.\)
\(\Rightarrow x=2\)
b) \(3^{x-1}:81=3^3\)
\(\Rightarrow3^{x-1}:3^4=3^3\)
\(\Rightarrow3^{x-1-4}=3^3\)
\(\Rightarrow3^{x-5}=3^3\)
\(\Rightarrow x-5=3\)
\(\Rightarrow x=8\)
c) \(x^{13}=x\)
\(\Rightarrow x^{13}-x=0\)
\(\Rightarrow x\left(x^{12}-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{12}-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{12}=1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
d) \(\left(x-9\right)^4=\left(x-9\right)^2\)
\(\Rightarrow\left(x-9\right)^2=x-9\)
\(\Rightarrow\left(x-9\right)^2-\left(x-9\right)=0\)
\(\Rightarrow\left(x-9\right)\left(x-9-1\right)=0\)
\(\Rightarrow\left(x-9\right)\left(x-10\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-9=0\\x-10=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=9\\x=10\end{matrix}\right.\)
a) \(-\left(-a+c-d\right)-\left(c-a+d\right)\)
\(=a-c+d-c+a-d\)
\(=2a-2c\)
b) \(-\left(a+b-c+d\right)+\left(a-b-c-d\right)\)
\(=-a-b+c-d+a-b-c-d\)
\(=-2b-2d\)
c) \(a\left(b-c-d\right)-a\left(b+c-d\right)\)
\(=ab-ac-ad-ab-ac+ad\)
\(=-2ac\)
d) \(\left(a-b\right)+\left(c-d\right)+\left(a+c\right)-\left(b+d\right)\)
\(=a-b+c-d+a+c-b-d\)
\(=2a-2b+2c-2d\)
4: =4+5+{12+(-8)-(-8)-(-5)+(-12)+16-5+3}
=9+[12+5-12+16-5+3}
=9+19=28
5: =15-[13+8-10-16]-{5-7+9-3}
=15-(-5)-4
=15+5-4
=20-4
=16
m) 63.83-9.7.(-17)
= 5229-63.(-17)
= 5229 - (-1071)
= 5229 + 1071
= 6300
n) 42.3 - 7[(-34)+18]
= 126 - 7. (-16)
= 126 - (-112)
=126+112
= 238
\(p,71\cdot70+35\cdot\left(-7\right)-13\cdot35\)
\(=4970+\left(-245\right)-455=4725-455=4270\)
\(q,18\cdot\left(23-17\right)-13\cdot\left(23+18\right)\)
\(=18\cdot6-13\cdot41=108-533=-425\)
g: =(32-34)+(36-38)+(40-42)
=(-2)+(-2)+(-2)
=-6
l: =-5-{-[7-10]-[5+12]}-[-3+9-4-5]
=-5+(-3)+17-[-3]
=-8+17+3
=20-8=12
9: =>x-2/3=1/5*-7/15=-7/75
=>x=-7/75+50/75=43/75
11: =>x-4/5=3/10*(-7)/3=-7/10
=>x=-7/10+4/5=8/10-7/10=1/10
12:=>7/5*9+x=4/9
=>x=4/9-63/5=-547/45
10: =>x+5/6=-8/147
=>x=-87/98
\(1,-\dfrac{5}{12}\left(\dfrac{4}{9}+-\dfrac{5}{16}\right)\\ =-\dfrac{5}{12}\left(\dfrac{64}{144}+-\dfrac{45}{144}\right)\\ =-\dfrac{5}{12}.\dfrac{19}{144}\\ =-\dfrac{95}{1728}\\ 2,\left(-0,75+\dfrac{1}{2}\right)\left(\dfrac{1}{3}-\dfrac{1}{4}\right)\\ =\left(-\dfrac{3}{4}+\dfrac{1}{2}\right)\left(\dfrac{4}{12}-\dfrac{3}{12}\right)\\ =\left(-\dfrac{3}{4}+\dfrac{2}{4}\right).\dfrac{1}{12}\\ =-\dfrac{1}{4}.\dfrac{1}{12}\\ =-\dfrac{1}{48}\\ 3,-\dfrac{5}{7}.\dfrac{4}{13}+-\dfrac{5}{7}.\dfrac{9}{13}+-\dfrac{5}{7}\\ =-\dfrac{5}{7}.\dfrac{4}{13}+-\dfrac{5}{7}.\dfrac{9}{13}+-\dfrac{5}{7}.1=-\dfrac{5}{7}\left(\dfrac{4}{13}+\dfrac{9}{13}+1\right)\\ =-\dfrac{5}{7}\left(\dfrac{4}{13}+\dfrac{9}{13}+\dfrac{13}{13}\right)\\ =-\dfrac{5}{7}.\dfrac{26}{13}\\ =-\dfrac{5}{7}.2\\ =-\dfrac{10}{7}\)
a) \(-x+80=-220-5x\)
\(\Rightarrow-x+5x=-220-80\)
\(\Rightarrow4x=-300\)
\(\Rightarrow x=-\dfrac{300}{4}\)
\(\Rightarrow x=-75\)
b) \(98+\left(x-12\right)+68=-80-x\)
\(\Rightarrow166+\left(x-12\right)=-80-x\)
\(\Rightarrow166+x-12=-80-x\)
\(\Rightarrow154+x=-80-x\)
\(\Rightarrow154+80=-x-x\)
\(\Rightarrow-2x=234\)
\(\Rightarrow x=-\dfrac{234}{2}\)
\(\Rightarrow x=-117\)
c) \(122+x-78=-55-4x-1\)
\(\Rightarrow44+x=-56-4x\)
\(\Rightarrow x+4x=-56-44\)
\(\Rightarrow5x=-100\)
\(\Rightarrow x=-\dfrac{100}{5}\)
\(\Rightarrow x=-20\)
d) \(663+9x=-x-37\)
\(\Rightarrow9x+x=-37-663\)
\(\Rightarrow10x=-700\)
\(\Rightarrow x=-\dfrac{700}{10}\)
\(\Rightarrow x=-70\)