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a) -15÷x=3
x=-15÷3
x=-5
b) -3x+8=-7
-3x . =-15
x. =-15÷-3
x. = 5
c) ( x-6) (7- x) =0
Suy ra: * x-6 =0=) x=6
*7-x=0=) x=7
Vậy x=6;7
a, -15:x=3
\(\Rightarrow x=-15:3\)
\(\Rightarrow x=-5\)
Vậy x=-5
b,-3x+8=-7
\(\Rightarrow-3x=-7-8\)
\(\Rightarrow-3x=15\)
\(\Rightarrow x=15:\left(-3\right)\)
\(\Rightarrow x=5\)
Vậy x=5
c, (x-6)(7-x)=0
\(\Rightarrow\orbr{\begin{cases}x-6=0\\7-x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0+6\\x=7-0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
\(a.x+9=-7\)
\(x=-7-9\)
\(x=-16\)
\(b.x+51=19\)
\(x=19-51\)
\(x=-32\)
\(c.x-4=-8\)
\(x=-8+4\)
\(x=-4\)
\(d.41-x=-12\)
\(x=41-\left(-12\right)\)
\(x=53\)
\(e.|x|-2=5\)
\(|x|=7\)
\(\Rightarrow TH1:x=7\)
\(TH2:x=-7\)
\(f.|x-2|=5\)
\(\Rightarrow TH1:x-2=5\)
\(x=7\)
\(TH2:x-2=-5\)
\(x=-3\)
\(g.\left(x-5\right)\left(7+x\right)=0\)
\(TH1:x-5=0\)
\(x=5\)
\(TH2:7+x=0\)
\(x=-7\)
a) x+9=-7 b) x+51=19 c)x-4=8 x=8-4 x=4
x=-7-9 x=-16. x=19-51 x=-32
a, 7\(x\).(2\(x\) + 10) =0
\(\left[{}\begin{matrix}x=0\\2x+10=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\2x=-10\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=0\\x=-5\end{matrix}\right.\)
Vậy \(x\in\) {-5; 0}
b, -9\(x\) : (2\(x\) - 10) = 0
9\(x\) = 0
\(x\) = 0
c, (4 - \(x\)).(\(x\) + 3) = 0
\(\left[{}\begin{matrix}4-x=0\\x+3=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
Vậy \(x\in\) {-3; 4}
a) 6 ⋮ (x - 1)
=> x - 1 ϵ Ư(6) = {-6; -3; -2; -1; 1; 2; 3; 6}
TH1: x - 1 = -6 => x = -5 (Thỏa mãn)
TH2: x - 1 = -3 => x = -2 (Thỏa mãn)
TH3: x - 1 = -2 => x = -1 (Thỏa mãn)
TH4: x - 1 = -1 => x = 0 (Thỏa mãn)
TH5: x - 1 = 1 => x = 2 (Thỏa mãn)
TH6: x - 1 = 2 => x = 3 (Thỏa mãn)
TH7: x - 1 = 3 => x = 4 (Thỏa mãn)
TH8: x - 1 = 6 => x = 7 (Thỏa mãn)
Vậy x ϵ {-5; -2; -1; 0; 2; 3; 4; 7}
b) (x + 2) ⋮ (x - 1)
Ta có: (x + 2) = (x - 1) + 3
Vì (x - 1) ⋮ (x - 1) nên để (x - 1) + 3 ⋮ (x - 1) thì 3 ⋮ (x - 1)
=> x - 1 ϵ Ư(3) = {-3; -1; 1; 3}
TH1: x - 1 = -3 => x = -2 (Thỏa mãn)
TH2: x - 1 = -1 => x = 0 (Thỏa mãn)
TH3: x - 1 = 1 => x = 2 (Thỏa mãn)
TH4: x - 1 = 3 => x = 4 (Thỏa mãn)
Vậy x ϵ {-2; 0; 2; 4}
x - 7 = 15 - (-21)
x - 7 = 36
x = 36 + 7
x = 43
b) 3x + 17 = 2
3x = 2 - 17
3x = -15
x = -5
c) ( x - 9) = 45 - ( -35)
x - 9 = 80
x = 80 + 9
x = 89
a/ \(15-\left(x-7\right)=-21\)
\(15-x+7=-21\)
\(x=15-\left[\left(-21\right)-7\right]=15-\left(-28\right)=43\)
b/\(3x+17=2\)
\(3x=2-17=-15\)
\(x=-\frac{15}{3}=-5\)
c/\(45-\left(x-9\right)=-35\)
\(45-x+9=-35\)
\(x=45-\left[\left(-35\right)-9\right]=89\)
d/\(\left(-5\right)+x=15\)
\(x=15-\left(-5\right)=20\)
e/\(2x-\left(-17\right)=15\)
\(2x=15-17=-2\)
\(x=-\frac{2}{2}=-1\)
g/ \(Ix-2I=3\)
TH1: \(x-2=3\)
\(x=3+2=5\)
TH2: \(x-2=-3\)
\(x=\left(-3\right)+2=-1\)
=> \(x\in\left\{-1;5\right\}\)
\(a,x-\frac{3}{4}=\frac{1}{7}\)
\(x=\frac{1}{7}+\frac{3}{4}=\frac{25}{28}\)
\(b,\frac{15}{x}-\frac{1}{3}=\frac{28}{51}\)
\(\frac{15}{x}=\frac{28}{51}-\frac{1}{3}=\frac{15}{17}\)
\(\Rightarrow x=17\)
học tốt ~~~
\(x-\frac{3}{4}=\frac{1}{7}\)
\(x\) \(=\frac{1}{7}+\frac{3}{4}\)
\(x\) \(=\frac{4}{28}+\frac{21}{28}\)
\(x\) \(=\frac{4+21}{28}\)
\(x\) \(=\frac{25}{28}\)
Bài 1:
\(c.\) \(2x+1⋮x-1\)
\(\Leftrightarrow\left(2x-2\right)+3⋮x-1\)
\(\Leftrightarrow3⋮x-1\)
Ta có bẳng sau:
\(x-1\) | \(-1\) | \(1\) | \(3\) | \(-3\) |
\(x\) | \(0\) | \(2\) | \(4\) | \(-2\) |