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a. 3x + 5
=> 3x \(⋮\) x
5 \(⋮\) x
=> x \(\in\)(5)
=> x = 1 hoặc x = 5
a) Để(x^2-1).(2x-6)=0 thì 2x-6=0 suy ra x=3 và x^2-1=0 suy ra x=-1 hoặc 1
a) \(\left(x^2-1\right)\left(2x-6\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}x^2-1=0\\2x-6=0\end{array}\right.\) \(\Rightarrow\left[\begin{array}{nghiempt}x^2=1\\2x=6\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=1\\x=3\end{array}\right.\)
Vậy \(x\in\left\{1;3\right\}\)
b) \(2x+3x-x-24=16\)
\(\Rightarrow2x+3x-x=16+24\)
\(\Rightarrow4x=40\)
\(\Rightarrow x=40:4=10\)
Vậy x = 10
c) \(\left(x^2+1\right)\left(x-5\right)\left(x-1\right)=0\)
\(\Rightarrow\left[\begin{array}{nghiempt}x^2+1=0\\x-5=0\\x-1=0\end{array}\right.\) \(\Rightarrow\left[\begin{array}{nghiempt}x^2=-1\\x=0+5\\x=0+1\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x\in\phi\\x=5\\x=1\end{array}\right.\)
Vậy \(x\in\left\{1;5\right\}\)
a) \(\left(x^2-1\right).\left(2x-6\right)=0\)
\(\Rightarrow\left(x^2-1\right).2\left(x-3\right)=0\)
\(\Rightarrow\left(x^2-1\right).\left(x-3\right)=0\)
\(\Rightarrow x^2-1=0\) hoặc \(x-3=0\)
+) \(x^2-1=0\Rightarrow x^2=1\Rightarrow x=1\) hoặc \(x=-1\)
+) \(x-3=0\Rightarrow x=3\)
Vậy \(x\in\left\{1;-1;3\right\}\)
b) \(2x+3x-x-24=14\)
\(\Rightarrow4x=40\)
\(\Rightarrow x=10\)
Vậy x = 10
c) \(\left(x^2+1\right).\left(x-5\right)\left(x-1\right)=0\)
\(\Rightarrow x^2+1=0\) hoặc \(x-5=0\) hoặc \(x-1=0\)
+) \(x^2+1=0\Rightarrow x^2=-1\) ( vô lí )
+) \(x-5=0\Rightarrow x=5\)
+) \(x-1=0\Rightarrow x=1\)
Vậy \(x\in\left\{5;1\right\}\)
a) x+2(3-x)-3(1-x)=9
<=> x+6-2x-3+3x=9
<=> 2x+3=9
<=> 2x=6
<=> x=3
b) (3x+5)-(x-10)+2x=31
<=> 3x+5-x+10+2x=31
<=> 4x+15=31
<=> 4x=16
<=> x=4
a) x+2(3-x)-3(1-x)=9
x+6-2x-3+3x=9
x-2x+3x=9-6+3
2x=6
x=6:2
x=3
Vậy x=3
b) (3x+5)-(x-10)+2x=31
3x+5-x+10+2x=31
3x-x+2x=31-5-10
4x=16
x=16:4
x=4
Vậy x=4
b,Ta có 3x+7:x-2=>3x-6+13:x-2=>3(x-2)+13:x-2=>13:x-2
Vì \(x\in N\Rightarrow x-2\in N\Rightarrow x-2\inƯ\left(13\right)=\left(1,13\right)\Rightarrow x\in\left(3,15\right)\)