a) \(3\left(x-1\right)^2\cdot3x\left(x-5\right)=0\)

\(\Rightarrow9x\left(x-1\right)^2\left(x-5\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x-1=0\\x-5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=1\\x=5\end{matrix}\right.\)

b) \(\left(x+3\right)^2-5x-15=0\)

\(\Rightarrow\left(x+3\right)^2-5\left(x+3\right)=0\)

\(\Rightarrow\left(x+3\right)\left(x+3-5\right)=0\)

\(\Rightarrow\left(x+3\right)\left(x-2\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+3=0\\x-2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-3\\x=2\end{matrix}\right.\)

c) \(2x^5-4x^3+2x=0\)

\(\Rightarrow2x\left(x^4-2x^2+1\right)=0\)

\(\Rightarrow2x\left[\left(x^2\right)^2-2\cdot x^2\cdot1+1^2\right]=0\)

\(\Rightarrow2x\left(x^2-1\right)^2=0\)

\(\Rightarrow2x\left(x-1\right)^2\left(x+1\right)^2=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x-1=0\\x+1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

\(\text{#}Toru\)

kq là -7000

Vừa ăn bánh sinh nhật lừa làm bài nên hơi lâu ==*

16 . 125 = 2 . 2³ . 5³ . = 2 . 10³ = 2 . 1000 = 2000

9 . 24 . 25 = 9 . 6 . 4 . 25 = 54 . 100 = 5400

12 . 125 . 54 = 3 . 3³ . 2³ . 5³ . 5 = 15 . 3000 = 45000

lấy máy tính cho nhanh

a) \(14.50=7.2.50=7.100=700\)

b) \(16.125=2.8.125=2.1000=2000\)

c) \(9.4.25\)

\(=9.6.4.25\)

\(=54.1000\)

\(=5400\)

d) \(12.125.54=3.4.125.2.27=3.27.4.2.125\)

\(=81.8.125\)

\(=81.1000\)

\(=81000\)

\(a,14.50=14.100:2=1400:2=700\\ b,16.125=\left(16:8\right).\left(125.8\right)=2.1000=2000\\ c,9.24.25=9.6.4.25=54.100=5400\\ d,12.125.54=\left(3.4\right).125.\left(27.2\right)=\left(3.27\right).\left(4.2.125\right)=81.1000=81000\)

17262 - 9998

= 17262 - 10 000 + 2 

= 7262 + 2

= 7264 

876 - 197 

=876 - 200 + 3

= 676 + 3

= 679

16.125 

= 2. 8. 125

= 2. (8.125)

= 2. 1000

= 2000

700 : 25

= 7 x 100 : 25

= 7 x ( 100 : 25)

= 7 x 4

= 28

( 260 - 13) : 13

= 260 : 13 - 13 : 13

= 20 - 1

= 19

em cảm ơn cô a

\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)

\(2.3^x=10.3^{12}+8.3^{12}\)

\(2.3^x=3^{12}.\left(10+8\right)\)

\(2.3^x=3^{12}.18\)

\(3^x=3^{12}.18:2\)

\(3^x=3^{12}.9\)

\(3^x=3^{12}.3^2\)

\(3^x=3^{14}\)

\(\Rightarrow x=14\)

2.3^x=10.3¹²+8.27⁴

2.3^x=10.3¹²+2³.3¹²

2.3^x=3¹².18

2.3^x=3¹².3².2

2.3^x=3¹⁴.2

=>x=14

\(2.3^{x+3}=10.3^{12}+8.3^{12}\)

\(\Leftrightarrow2.3^{x+3}=18.3^{12}\)

\(\Leftrightarrow3^{x+3}=9.3^{12}\)

\(\Leftrightarrow3^{x+3}=3^{14}\)

\(\Leftrightarrow x+3=14\Leftrightarrow x=11\)

\(\Leftrightarrow2\cdot3^{x+3}=3^{12}\cdot18\\ \Leftrightarrow2\cdot3^{x+3}=3^{14}\cdot2\\ \Leftrightarrow x+3=14\Leftrightarrow x=11\)

2.3x+3=10.312+8.3122.3x+3=10.312+8.312

=2.3x+3=18.312⇔2.3x+3=18.312

=3x+3=9.312⇔3x+3=9.312

=3x+3=314⇔3x+3=314

\(2.3^x+5.3^x.3=153\Leftrightarrow2.3^x+15.3^x=153\)

\(\Leftrightarrow17.3^x=153\Leftrightarrow3^x=9\Leftrightarrow x=2\)

\(\Leftrightarrow2.3^x+5.3.3^x=153\)

\(\Leftrightarrow17.3^x=3^2.17\)

\(\Leftrightarrow3^x=3^2\Rightarrow x=2\)

Bạn xem lại đề

2.3^x=10.3¹²+8.27⁴

2.3^x=10.3¹²+2³.3¹²

2.3^x=3¹².18

2.3^x=3¹².3².2

2.3^x=3¹⁴.2

=>x=14

mỏi cả tay