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\(\left(x-1\right)^2=1\\ \Rightarrow\left[{}\begin{matrix}x-1=1\\x-1=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\\ 7^{2x-6}=49\\ \Rightarrow7^{2x-6}=7^2\\ \Rightarrow2x-6=2\\ \Rightarrow2x=8\\ \Rightarrow x=4\)
3.|x+1|-2=4
3.|x+1|=4+2
3.|x+1|=6
|x+1|=6:3
|x+1|=2
Trường hợp 1 x+1=2
x=2-1
x=1
trường hợp 2
x+1=-2
x=(-2)-1
x=-3
==> x thuộc {1; -3}
k mk nha chúc học tốt
b; 36. 42 - 62.5 + 63 .62
= 36.42 - 36.5 + 63.36
= 36.(42 - 5 + 63)
= 36.100
= 3600
\(a, 3\left(2-x\right)+5\left(x-6\right)=-98\Leftrightarrow6-3x+5x-30=-98\)
\(\Leftrightarrow2x=-74\)
\(\Leftrightarrow x=-37\)
\(b,\)\(\Leftrightarrow x^2+1=0\left(v\text{ô} nghi\text{ệm}\right)ho\text{ặc} 49-x^2=0\)
\(\Leftrightarrow x=7 ho\text{ặc} x=-7\)
Chúc bạn học tốt ^_^
a)3(2-x)+5(x-6)=-98
6-3x+5x-30=98
-3x+5x =98+30-6
x(-3+5) =122
x.2 =122
x =122:2=61
b)(x^2+1)(49-x^2)=0
=>x2+1=0 hoặc 49-x2=0
x2=-1(vô lí)hoặc x2 =49
=>x=7
1) \(...\Rightarrow x-7=0\Rightarrow x=7\)
2) \(...\Rightarrow x-4=0\Rightarrow x=4\)
3) \(...\Rightarrow6x-12=0\Rightarrow6x=12\Rightarrow x=12:6=2\)
4) \(...\Rightarrow9x-27=0\Rightarrow9x=27\Rightarrow x=27:9=3\)
5) \(...\Rightarrow15-x=30-25\Rightarrow15-x=5\Rightarrow x=15-5=10\)
6) \(...\Rightarrow43-24+x=20\Rightarrow19+x=20\Rightarrow x=20-19=1\)
7) \(...\Rightarrow2x+14-17=25\Rightarrow2x-3=25\Rightarrow2x=28\Rightarrow x=28:2=14\)
8) \(...\Rightarrow3x+21-15=27\Rightarrow3x-6=27\Rightarrow3x=33\Rightarrow x=33:3=11\)
9) \(...\Rightarrow15+4x-8=95\Rightarrow4x+7=95\Rightarrow4x=88\Rightarrow x=88:4=22\)
10) \(...\Rightarrow20-x-14=5\Rightarrow6-x=5\Rightarrow x=6-5=1\)
11) \(...\Rightarrow24+15-3x=27\Rightarrow39-3x=27\Rightarrow3x=39-27\Rightarrow3x=12\Rightarrow x=12:3=4\)
a) (x - 1)2 = 1.
<=> x - 1 = 1 hoặc x - 1 = -1.
<=> x = 2 hoặc x = 0.
b) 72x - 6 = 49.
<=> 72x - 6 = 72.
<=> 2x - 6 = 2.
<=> x = 4.
c) (2x - 16)7 = 128.
<=> (2x - 16)7 = 27.
<=> 2x - 16 = 2.
<=> x = 9.
1a) (x-2)(x+1)= 0
Suy ra \(\orbr{\begin{cases}x-2=0\\x+1=0\end{cases}}\)Suy ra \(\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
2.( x - 6)2 - 1 = 49
2.(x-6)2 = 49 + 1
2.(x-6)2 = 50
( x-6)2 = 50 : 2
(x-6)2 = 25
( x-6)2 = 52
\(\left[{}\begin{matrix}x-6=5\\x-6=-5\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=11\\x=1\end{matrix}\right.\)