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a. 3x+1=7x−113x+1=7x−11
⇔3x−7x=−11−1⇔−4x=−12⇔x=3⇔3x−7x=−11−1⇔−4x=−12⇔x=3
b. 5−3x=6x+75−3x=6x+7
⇔5−7=6x+3x⇔−2=9x⇔x=−\(\frac{2}{9}\)
Pain lam cau a thoi nhin no la la :))
\(3x+1=7x-113x+1=7x-11.\)
\(3x+1=7x-113x+1-7x+11=0\)
\(3x+1=0\Leftrightarrow x=-\frac{1}{3}\)
a: 5-3x=6x+7
=>-3x-6x=7-5
=>-9x=2
=>\(x=-\dfrac{2}{9}\)
b: \(\dfrac{3x-2}{6}-5=3-\dfrac{2\left(x+7\right)}{4}\)
=>\(\dfrac{3x-2}{6}+\dfrac{x+7}{2}=8\)
=>\(\dfrac{3x-2+3\left(x+7\right)}{6}=8\)
=>3x-2+3x+14=48
=>6x+12=48
=>6x=36
=>\(x=\dfrac{36}{6}=6\)
c: \(\left(x-1\right)\left(5x+3\right)=\left(3x-8\right)\left(x-1\right)\)
=>\(\left(x-1\right)\left(5x+3\right)-\left(3x-8\right)\left(x-1\right)=0\)
=>(x-1)(5x+3-3x+8)=0
=>(x-1)(2x+11)=0
=>\(\left[{}\begin{matrix}x-1=0\\2x+11=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{11}{2}\end{matrix}\right.\)
d: \(\left(2x-1\right)^2-\left(x+3\right)^2=0\)
=>\(\left(2x-1-x-3\right)\left(2x-1+x+3\right)=0\)
=>\(\left(x-4\right)\left(3x+2\right)=0\)
=>\(\left[{}\begin{matrix}x-4=0\\3x+2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{2}{3}\end{matrix}\right.\)
g.\(\dfrac{1-3x}{6}+x-1=\dfrac{x+2}{2}\)
\(\Leftrightarrow\dfrac{\left(1-3x\right)+6\left(x-1\right)}{6}=\dfrac{3\left(x+2\right)}{6}\)
\(\Leftrightarrow\left(1-3x\right)+6\left(x-1\right)=3\left(x+2\right)\)
\(\Leftrightarrow1-3x+6x-6=3x+6\)
\(\Leftrightarrow-5=6\left(vô.lí\right)\)
Vậy pt vô nghiệm
h.\(\dfrac{3\left(2x+1\right)}{4}-5-\dfrac{3x+2}{10}=\dfrac{2\left(3x-1\right)}{5}\)
\(\Leftrightarrow\dfrac{15\left(2x+1\right)-100-2\left(3x+2\right)}{20}=\dfrac{8\left(3x-1\right)}{20}\)
\(\Leftrightarrow15\left(2x+1\right)-100-2\left(3x+2\right)=8\left(3x-1\right)\)
\(\Leftrightarrow30x+15-100-6x-4=24x-8\)
\(\Leftrightarrow-89=-8\left(vô.lí\right)\)
Vậy pt vô nghiệm
3x3 - 3x2- 6x = 0
x ( 3x2 - 3x - 6 ) = 0
x [ 3x2 + 3x - 6x - 6 ] = 0
x [ 3x ( x + 1 ) - 6 ( x + 1 ) ] = 0
x ( 3x - 6 ) ( x + 1 ) = 0
<=> x = 0 hoặc 3x - 6 = 0 hoặc x + 1 = 0
1) x = 0
2) 3x - 6 = 0 <=> x = 2
3) x + 1 = 0 <=> x = -1
Vậy taaph nghiệm của phương trình đã cho S={0 : -1 : 2 }
\(3x^3-3x^2-6x=0\)
\(3x^3-6x^2+3x^2-6x=0\)
\(3x^2.\left(x-2\right)+3x\left(x-2\right)=0\)
\(\left(3x^2+3x\right)\left(x-2\right)=0\)
\(3x\left(x+1\right)\left(x-2\right)=0\)
\(\Rightarrow3x=0\) \(\Rightarrow x=0\)hoặc \(\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
5 – 3x = 6x + 7 ⇔ 5 – 7 = 6x + 3x ⇔ -2 = 9x ⇔ x = -2/9