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(-5)^2-(5x-3)=43
25 - ( 5x - -3 ) = 43
5x -3 = 25 - 43
5x -3 = - 18
5x = - 18 + 3
5x = -15
x = -15 : 5
x = -3
Hok tốt
\(\left(-5\right)^2-\left(5x-3\right)=43\)
\(\Rightarrow25-5x+3=43\)
\(\Rightarrow28-5x=43\)
\(\Rightarrow5x=28-43=-15\)
\(\Rightarrow x=-3\)
Vậy x = -3
100-3(x-1)2=52
3(x-1)2=100-52
3(x-1)2=48
(x-1)2=48:3
(x-1)2=16
(x-1)2=42=(-4)2
=> x-1=4 hoặc x-1=-4
TH1:
x-1=4
x=4+1
x=5
TH2:
x-1=-4
x=-4+1
x=-3
Vậy x=5 hoặc x=-3
100 - 3(x - 1)2 = 52
<=> 3(x - 1)2 = 48
<=> (x - 1)2 = 16
<=> (x - 1)2 = 42 = (-4)2
<=> \(\orbr{\begin{cases}x-1=4\\x-1=-4\end{cases}}\)
<=> \(\orbr{\begin{cases}x=5\\x=-3\end{cases}}\)
b)\(\left(x-8\right)\left(x-2\right)=0\Leftrightarrow\orbr{\begin{cases}x-8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=8\\x=2\end{cases}}\)
c) \(\left(x+1\right)+\left(x+2\right)+...+\left(x+10\right)=9x+200\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+...+10\right)=9x+200\) (10 số hạng x)
\(\Leftrightarrow10x+55=9x+200\Leftrightarrow x+55=200\)
\(\Leftrightarrow x=145\)
\(a)3\left(x-1\right)^2=75\)
\(\Leftrightarrow\left(x-1\right)^2=25\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x-1\right)^2=\left(-5\right)^2\\\left(x-1\right)^2=5^2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=-5\\x-1=5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-4\\x=6\end{cases}}\)
\(b)170+\left(84-5x\right):2^2=186\)
\(\Leftrightarrow\frac{84-5x}{4}=16\)
\(\Leftrightarrow84-5x=64\)
\(\Leftrightarrow5x=20\)
\(\Leftrightarrow x=4\)
\(c)125-5\left(x+4\right)=38\)
\(\Leftrightarrow5\left(x+4\right)=87\)
\(\Leftrightarrow x+4=\frac{87}{5}\)
\(\Leftrightarrow x=\frac{87}{5}-4\)
\(\Leftrightarrow x=\frac{67}{5}\)
\(\frac{x-2}{2}-\frac{1+x}{3}=\frac{4-3x}{4}-1\)
\(\Leftrightarrow\frac{3\left(x-2\right)-2\left(1+x\right)}{6}=\frac{4-3x-4}{4}\)
\(\Leftrightarrow\frac{3x-6-2-2x}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow\frac{x-8}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow4x-32=-18x\)
\(\Rightarrow x=\frac{16}{11}\)
=> 2x-4+6-x=8
=> 2x-x=8+4-6
=>x=6
2.(x-2)-3.(-2+x)=8
2.(x-2)-3.(x-2)=8
(x-2).(2-3)=8
(x-2).(-1)=8
x-2=8/(-1)= -8
x= -8+2= -6