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a, \(x\in B\left(13\right)=\left\{0;13;26;39;52;65;78;.........\right\}\)
Mà : 21 < x < 65 => \(x\in\left\{26;39;52\right\}\)
b, Vì : x chia hết cho 17 , mà 10 < x < 60
=> \(x\in B\left(17\right)=\left\{17;34;51\right\}\)
c, \(\Rightarrow x\in\left\{10;15;30\right\}\)
d, Vì 12 chia hết cho x
=> \(x\in\left\{1;2;3;4;6;12\right\}\)
\(20^{3x}=20^{13}:20^4\\ \Leftrightarrow20^{3x}=20^9\\ \Leftrightarrow3x=9\\ \Leftrightarrow x=3\)
\(20^{3x}=20^{13}:\left(4.5\right)^4\\ \Leftrightarrow20^{3x}=20^{13}:20^4\\ \Leftrightarrow20^{3x}=20^9\\ \Rightarrow3x=9\\ \Rightarrow x=9:3\\ \Rightarrow x=3\)
2.3x+4+3x=63
\(\Rightarrow\)2.3x.34+3x=63
\(\Rightarrow\)2.81.3x+3x=63
\(\Rightarrow\)162.3x+3x=63
\(\Rightarrow\)163.3x=63
\(\Rightarrow\) sai đề
2*3x+4+3x =63
3x(2*34+1)=63
3x =63/163
Chẳng ra đâu bạn ạ. Với lại ko cần viết''(dấu chấm là dấu nhân)'' nhé!!!
4.\(\left(2-x\right)\left(5-x\right)=0\)
\(\Leftrightarrow\hept{\begin{cases}2-x=0\\5-x=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=2\\x=5\end{cases}}}\)
5.\(\left(4x-16\right)\left(8-2x\right)=0\)
\(\Leftrightarrow\hept{\begin{cases}4x-16=0\\8-2x=0\end{cases}\Leftrightarrow\hept{\begin{cases}4x=16\\-2x=-8\end{cases}\Leftrightarrow}\hept{\begin{cases}x=4\\x=4\end{cases}}}\)
Câu 4:
( 2- x ) . ( 5 - x ) = 0
=> 2 - x = 0 hoặc 5 - x = 0
=> x = 2 hoặc x = 5
Vậy x \(\in\){ 2 ; 5 }
Cậu 5:
( 4x - 16 ) . ( 8 - 2x ) = 0
=> 4x - 16 = 0 hoặc 8 - 2x = 0
=> 4x = 16 hoặc 2x = 8
=> x = 4 hoặc x = 4
Vậy x = 4
\(\left(x+2\right)-2=0\)
\(\Rightarrow x+2-2=0\)
\(\Rightarrow x=0\)
\(\left(x+3\right)+1=7\)
\(\Rightarrow x+3+1=7\)
\(\Rightarrow x+4=7\)
\(\Rightarrow x=3\)
\(\left(3x-4\right)+4=12\)
\(\Rightarrow3x-4+4=12\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
\(\left(5x+4\right)-1=13\)
\(\Rightarrow5x+4-1=13\)
\(\Rightarrow5x+3=13\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
\(\left(4x-8\right)-3=5\)
\(\Rightarrow4x-8-3=5\)
\(\Rightarrow4x-11=5\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=4\)
\(8-\left(2x+4\right)=2\)
\(\Rightarrow8-2x-4=2\)
\(\Rightarrow4-2x=2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=1\)
\(7+\left(5x+2\right)=14\)
\(\Rightarrow7+5x+2=14\)
\(\Rightarrow9+5x=14\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=1\)
\(5-\left(3x-11\right)=1\)
\(\Rightarrow5-3x+11=1\)
\(\Rightarrow16-3x=1\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=5\)
Ta có \(\dfrac{2}{1\cdot5}+\dfrac{2}{5\cdot9}+\dfrac{2}{9\cdot13}+...+\dfrac{2}{x\left(x+4\right)}=\dfrac{56}{113}\)
\(\dfrac{1}{2}\left(\dfrac{4}{1\cdot5}+\dfrac{4}{5\cdot9}+\dfrac{4}{9\cdot13}+...+\dfrac{4}{x\left(x+4\right)}\right)=\dfrac{56}{113}\)
\(1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{13}+...+\dfrac{1}{x}-\dfrac{1}{x+4}=\dfrac{56}{113}:\dfrac{1}{2}\)
\(1-\dfrac{1}{x+4}=\dfrac{112}{113}\)
\(\dfrac{1}{x+4}=1-\dfrac{112}{113}=\dfrac{1}{113}\)
x + 4 = 113 ⇒ x = 109
\(\dfrac{2}{1.5}+\dfrac{2}{5.9}+...+\dfrac{2}{x\left(x+4\right)}=\dfrac{56}{113}\)
Xét: \(A=\dfrac{2}{1.5}+\dfrac{2}{5.9}+...+\dfrac{2}{x\left(x+4\right)}\)
\(A=\dfrac{1}{2}.\left(1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+...+\dfrac{1}{x-4}-\dfrac{1}{x}+\dfrac{1}{x}-\dfrac{1}{x+4}\right)\)
\(A=\dfrac{1}{2}.\left(1-\dfrac{1}{x+4}\right)\)
Với \(A=\dfrac{56}{113}\) thì
\(\dfrac{1}{2}.\left(1-\dfrac{1}{x+4}\right)=\dfrac{56}{113}\)
\(\left(1-\dfrac{1}{x+4}\right)=\dfrac{112}{113}\)
\(\dfrac{1}{x+4}=\dfrac{1}{113}\)
\(x=109\)
12x-43=4.84:89
12x-43=32
12x =32+64(32))
12x =96
x= 96:12
x=8
k nha
(12x-43)=4.(84:83)
12x-64=4.8
12x-64=32
12x=32+64
12x=96
x=96/12
x=8
a,\(\frac{37.13-13}{24+37.12}=\frac{36.13}{39.12}=1\)
b,125.7.16.25.4=(125.16).(25.4).7=2000.100.7=1400000
c,8.9.14+6.17.12+19.4.18=2^3.3^2.2.7+2.3.17.2^2.3+19.2^2.3^2.2=2^3.3^2.(2.7+17+19)=72.50=3600
Ngu
số tự nhiên x là 6 nhé bạn