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\(1.\left(x-1\right)^2=4=\left(-2\right)^2=2^2\)
\(TH1:x-1=2\Rightarrow x=3\)
\(TH2:x-1=-2\Rightarrow x=-1\)
Vậy:...
\(2.\left(1+x\right)^2=9=\left(-3\right)^2=3^2\)
\(TH1:1+x=3\Rightarrow x=2\)
\(TH2:1+x=-3\Rightarrow x=-4\)
Vậy:....
\(3,\left(x+2019\right)^4=1\Rightarrow\left(x+2019\right)^4=1^4\)
\(\Rightarrow\orbr{\begin{cases}x+2019=1\\x+2019=-1\end{cases}\Rightarrow\orbr{\begin{cases}x=-2018\\x=-2020\end{cases}}}\)
\(4,\left(x+10\right)^3=1\Rightarrow\left(x+10\right)^3=1^3\)
\(\Rightarrow x+10=1\)
\(\Rightarrow x=-9\)
9x-1=9
=> 9x-1=91
=> x-1 = 1
=> x = 1+1
=> x = 2
x4=16
=> x4=42
=> x = 4
2x:25=1
=> 2x-5=20
=> x - 5 = 0
=> x = 0 + 5
=> x = 5
9x-1=9
=> 9x-1=91
=> x-1 = 1
=> x = 1+1
=> x = 2
x4=16
=> x4=42
=> x = 4
2x:25=1
=> 2x-5=20
=> x - 5 = 0
=> x = 0 + 5
=> x = 5
2
a) 5 X - 5 mu 3=5
5 X - 125=5
5 X=5+125
5 X=130
X=130:5
X=26
mk chi biet moi bai do thoi sorry ban
- Bài 1:
a)1117-1116:{1240-(2^4-5)^2+[39-9(3^2-7)]:7}
=1117-1116:{1240-121+[39-9.2]:7}
=1117-1116:{1240-121+21:7}
=1117-1116:1122
=\(\frac{208693}{187}\)
b)7+10+13+16+...+2014+2017
Số số hạng của tổng là: (2017-7):3+1=671
Tổng: (2017+7).671=1358104
- Bài 2:
a)5x- 5^3=5 b)3(x-7)-128=157 c)611-11(5x+37)=39 d)3x.3x+1.3x+2=31.32.33.34.35
5x=5+5^3 3(x-7)=157+128 11(5x+37)=611-39 33x+3=315
5x=130 3(x-7)=285 11(5x+37)=572 => 3x+3=15
x=130:5 x-7=285:3 5x+37=572:11 3x=15-3
x=26 x-7=95 5x+37=52 3x=12
x=95+7 5x=52-37=15 x=12:3
x=102 x=15:3=5 x=4
Thấy đúng thì k cho mình nha ^^
b, \(\left(x+\frac{1}{2}\right)^2-\frac{1}{3}=\frac{1}{9}\)
\(\Leftrightarrow\left(x+\frac{1}{2}\right)^2=\frac{4}{9}\)
\(\Leftrightarrow\left(x+\frac{1}{2}\right)^2=\left(\frac{2}{3}\right)^3\)
\(\Leftrightarrow x+\frac{1}{2}=\frac{2}{3}\Rightarrow x=\frac{1}{6}\)
c, \(\left(x-\frac{1}{2}\right)^3+\frac{1}{4}=\frac{3}{8}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)^3=\frac{1}{8}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)^3=\left(\frac{1}{2}\right)^3\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{1}{2}=\frac{1}{2}\\x-\frac{1}{2}=-\frac{1}{2}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=1\\x=0\end{cases}}\)
Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
\(2^{x+1}.3^y=12^x\)
\(\Rightarrow2^{x+1}.3^y=3^x.4^x\)
\(\Rightarrow2^{x+1}.3^y=3^x.2^{2x}\)
\(\Rightarrow\orbr{\begin{cases}2^{x+1}=2^{2x}\\3^y=3^x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x+1=2x\\y=x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\\text{Vì y = x}\Rightarrow y=1\end{cases}}\)