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a, ( x + 1 ). ( x - 2 ) = 0
\(\Rightarrow\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0-1\\x=0+2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-1\\x=2\end{cases}}}\)
Vậy x = { -1 ; 2 }
b, 10 + 3( x-1 ) = 10 + 6x
=> 10 + 3x - 3 = 10 + 6x
=> 10 - 3 + 3x = 10 + 6x
=> 7 + 3x = 10 + 6x
=> 3x - 6x = 10 - 7
=> -3x = 3
=> x = 1
Vậy x = 1
c, x - 96 = ( 9443 - x ) -15
=> x - 96 = 9443 - x - 15
=> x - 96 = 9443 - 15 - x
=> x - 96 = 9428 - x
=> x + x = 9428 + 96
=> 2x = 9524
=> x = 4762
Vậy x = 4762
- a, Do \(\left[3x-15\right]^7=0\)
=> \(3x-15=0\)
=> \(3x=0+15\)
=> \(3x=15\)
=> \(x=15:3\)
=> \(x=5\)
\(\left(3x-5\right)^7=0\)
\(\Rightarrow3x-5=0\)
\(\Rightarrow3x=5\)
\(\Rightarrow x=\frac{5}{3}\)
\(-15.\left(\chi+2\right)+7.\left(2\chi-3\right)=\left(-5\right).10\)
\(\Rightarrow-15\chi+\left(-30\right)+14\chi-21=-50\)
\(\Rightarrow\left(-15\chi+14\chi\right)=-50+30+21\)
\(\Rightarrow\chi=1\)
HTDT
a) \(\dfrac{x}{15}\)=\(\dfrac{x-2}{30}\)
=>30x=15 (x-2)
=>30x=15x-30
=>30x-15x=-30
=>15x =-30
=>x =-2
b)\(\dfrac{7}{8}\)<\(\dfrac{x}{80}\)<\(\dfrac{9}{10}\)
=>\(\dfrac{70}{80}\)<\(\dfrac{x}{80}\)<\(\dfrac{72}{80}\)
=> 70<x<72
=>x=71
c)\(\dfrac{1}{6}\)<\(\dfrac{5}{x}\)<\(\dfrac{1}{4}\)
=>\(\dfrac{5}{30}\)<\(\dfrac{5}{x}\)<\(\dfrac{5}{20}\)
=>20<x<30
=>x={21;22;23;24;25;26;27;28;29}