tìm x biết: x(2x-4/11)=0
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Bài 15:
a: 2x+x=45
=>3x=45
=>\(x=\frac{45}{3}=15\)
b: 2x+7x=918
=>\(x\cdot\left(7+2\right)=918\)
=>9x=918
=>\(x=\frac{918}{9}=102\)
c: 2x+3x=60+5
=>5x=65
=>\(x=\frac{65}{5}=13\)
d: \(11x+22x=33\cdot2\)
=>33x=66
=>\(x=\frac{66}{33}=2\)
Bài 14:
a: (12-x)(2-x)=0
=>\(\left[\begin{array}{l}12-x=0\\ 2-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=12\\ x=2\end{array}\right.\)
b: (x-33)(11-x)=0
=>\(\left[\begin{array}{l}x-33=0\\ 11-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=33\\ x=11\end{array}\right.\)
c: (21-x)(12-x)=0
=>\(\left[\begin{array}{l}21-x=0\\ 12-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=21\\ x=12\end{array}\right.\)
d: (50-x)(x-150)=0
=>\(\left[\begin{array}{l}50-x=0\\ x-150=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=50\\ x=150\end{array}\right.\)
Bài 13:
a: (x-2)(x-3)=0
=>\(\left[\begin{array}{l}x-2=0\\ x-3=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x=3\end{array}\right.\)
b: (x-3)(x-4)=0
=>\(\left[\begin{array}{l}x-3=0\\ x-4=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=4\end{array}\right.\)
c: (x-7)(6-x)=0
=>\(\left[\begin{array}{l}x-7=0\\ 6-x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=7\\ x=6\end{array}\right.\)
d: (x-3)(x-13)=0
=>\(\left[\begin{array}{l}x-3=0\\ x-13=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=13\end{array}\right.\)
a) Vì (2x + 4)(x + 2) = 0 => 2x + 4 hoặc x + 2 = 0
*) 2x + 4 = 0 => x = (0 - 4) : 2 = -2
*) x + 2 = 0 => x = -2
Vậy x chỉ có thể = -2
b) x - (25 - 9) = 11 - (15 + x)
=> x + (15 + x) = 11 + (25 - 9)
=> 2x + 15 = 11 + 16
=> 2x = 27 - 15 = 12
=> x = 12 : 2 = 6
a/ => 2x + 4 = 0 => 2x = -4 => x = -2
hoặc x + 2 = 0 => x = -2
Vậy x = -2
b/ => x - 16 = 11 - 15 - x
=> 2x = 12
=> x = 6
c) (4x - 8)[x + (-3)] = 0
=> 4(x - 2)(x - 3) = 0
=> (x - 2)(x - 3) = 0
=> x - 2 = 0 hoặc x - 3 = 0
+) x - 2 = 0 => x = 2
+) x - 3 = 0 => x = 3
Vậy x \(\in\){2;3}
11(x - 6) = 4x + 11
=> 11x - 66 = 4x + 11
=> 11x - 4x = 11 + 66
=> 7x = 77
=> x = 77/7
=> x = 11
a: (2x+3)(y-4)=12
mà 2x+3 lẻ
nên (2x+3;y-4)∈{(1;12);(-1;-12);(3;4);(-3;-4)}
=>(2x;y)∈{(-2;16);(-4;-8);(0;8);(-6;0)}
=>(x;y)∈{(-1;16);(-2;-8);(0;8);(-3;0)}
b; x(2y+1)-4y=3
=>x(2y+1)-4y-2=1
=>x(2y+1)-2(2y+1)=1
=>(x-2)(2y+1)=1
=>(x-2;2y+1)∈{(1;1);(-1;-1)}
=>(x;2y)∈{(3;0);(1;-2)}
=>(x;y)∈{(3;0);(1;-1)}
c: xy+2x+y+11=0
=>x(y+2)+y+2+9=0
=>(x+1)(y+2)=-9
=>(x+1;y+2)∈{(1;-9);(-9;1);(-1;9);(9;-1);(3;-3);(-3;3)}
=>(x;y)∈{(0;-11);(-10;-1);(-2;7);(8;-3);(2;-5);(-4;1)}

trường hợp 1: x = 0
trường hợp 2: 2x −\(\frac{4}{11}\) =0
2x = \(\frac{4}{11}\)
x = \(\frac{4}{11}:2\)
x = \(\frac{4}{11}.\frac12\)
x = \(\frac{4}{22}\)
x = \(\frac{2}{11}\)
Vậy, x=0 hoặc x=112.
\(x(2x−(4)/(11))=0 \)
Vậy ⇒ \(x=0\) hoặc \(2x-(4)/(11)=0\)
⇒\(x=0\) hoặc \(2x=4/11\)
⇒\(x=0\) hoặc \(x=2/11\)
Vậy \(x \in 0 ; 2 / 11\)