tìm ƯC(70,140,280)
giúp mik giải nhé! cảm ơn các bạn
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e: Ta có: \(\left(x+1\right)\left(x+2\right)=444222\)
\(\Leftrightarrow x^2+3x-444220=0\)
\(\text{Δ}=3^2-4\cdot1\cdot\left(-444220\right)=1776889\)
Vì Δ>0 nên phương trình có hai nghiệm phân biệt là
\(\left\{{}\begin{matrix}x_1=\dfrac{-3-1333}{2}=-668\\x_2=\dfrac{-3+1333}{2}=665\end{matrix}\right.\)
\(g,4=2^2;6=2.3\\ \Rightarrow BCNN\left(4,6\right)=2^2.3=12\\ \Rightarrow x\in BC\left(4,6\right)=B\left(12\right)=\left\{0;12;24;36;48;60;...\right\}\\ \text{Mà }0< x< 50\\ \Rightarrow x\in\left\{12;24;36;48\right\}\\ h,12=2^2.3;18=2.3^2\\ \Rightarrow BCNN\left(12,18\right)=2^2.3^2=36\\ \Rightarrow x\in BC\left(12,18\right)=B\left(36\right)=\left\{0;36;72;108;144;180;216;252;...\right\}\\ \text{Mà }x< 250\\ \Rightarrow x\in\left\{0;36;72;108;144;180;216\right\}\)
g,\(x⋮4,x⋮6\Rightarrow x\in BC\left(4,6\right)=\left\{\pm0;\pm12;\pm24;\pm36;\pm48;\pm60;...\right\}\)
Mà \(0< x< 50\Rightarrow x\in\left\{12;36;48\right\}\)
h,\(x⋮12,x⋮18\Rightarrow x\in BC\left(12,18\right)=\left\{0;\pm36;\pm72;\pm108;\pm144;\pm180;\pm216;\pm252;...\right\}\)
Mà \(x< 50\Rightarrow x\in\left\{0;\pm36;\pm72;\pm108;\pm144;\pm180;\pm216\right\}\)
120 + 2. (8x-17) = 0
122 . (8x-17) = 0
(8x-17) = 0
8x = 17
x = 17/8
Ta có:
\(x^3+x^2-4x=4\)
\(\Rightarrow x^3+x^2-4x-4=0\)
\(\Rightarrow\left(x^3+x^2\right)-\left(4x+4\right)=0\)
\(\Rightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Rightarrow\left(x^2-4\right)\left(x+1\right)=0\)
\(\Rightarrow\left(x-2\right)\left(x+2\right)\left(x+1\right)=0\)
\(\Rightarrow x-2=0;x+2=0;x+1=0\)
\(\Rightarrow x\in\left\{2;-2;-1\right\}\)
a)\(2.\left(x+5\right)-x^2-5x=0\)
\(\Leftrightarrow2\left(x+5\right)-x\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right).\left(2-x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+5=0\\2-x=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-5\\x=2\end{cases}}\)
b)\(3x^3-48x=0\)
\(\Leftrightarrow3x\left(x^2-16\right)=0\)
\(\Leftrightarrow3x.\left(x-4\right).\left(x+4\right)=0\)
\(\Leftrightarrow\orbr{\frac{x=4}{\frac{x=0}{x=-4}}}\)
c)\(x^3+x^2-4x=4\)
\(\Leftrightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2-4\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-2\right)\left(x+2\right)\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{x=0}{x=2}\\\overline{x=-2}\end{cases}}\)
ƯC ( 32 ; 18 ) = 1 ; 2 .
ƯC ( 26 ; 39 ; 48 ) = 1.
BC ( 6 ; 21 ) = 42.
BC ( 56 ; 70 ; 126 ) = 2520.
a = 157;158;159;160;...;188;189.
a thuộc N ; 156 < a < 190.
Bài 1 :
a)Ta có : 32=25
18=2*32
=>ƯCLN(32;18)=2=2
=>ƯC(32;18)=Ư(2)={1;2}
Vậy ƯC(32;18)={1;2}
b)Ta có : 26=2*13
39=3*13
48=24*3
=>ƯCLN(26;39;48)=1
=>ƯC(26;39;48)=1
Vậy ƯC(26;39;48)=1
c)Ta có : 6=2*3
21=3*7
=>BCNN(6;21)=2*3*7=42
=>BC(6;21)=B(42)={0;42;84;126;......}
Vậy BC(6;21}={0;42;84;126;......}
d)Ta có : 56=23*7
70=2*5*7
126=2*32*7
=>BCNN(56;70;126)=23*32*5*7=2520
=>BC(56;70;126)=B(2520)={0;2520;5040;7560;.......}
Vậy BC(56;70;126)={0;2520;5040;7560;.......}
Bài 2 :
Vì 156<a<190 nên a thuộc {157;158;159;...;188;189}
Vậy a thuộc {157;158;159;...;188;189}
a ƯC ( 16;24) = 1;2;4;8
b ƯC(60;90) = 1;2;3;5;6;10;15;30
c ƯC(24;84)=1;2;3;4;6;12
d ƯC ( 16;60)=1;2;4
h ƯC(18;30;42) =1;2;3;6
e ƯC ( 18;77) = 1
g ƯC (18;90) = 1;2;3;6
k ƯC (26;39;48 ) = 1
Nhớ k cho mình nhe
70=2.5.7
140=22.5.7
280=23.5.7
ƯC(70,140,280)=2.5.7=70
bài này còn một cách nữa nhưng mình ko nhớ
10 nhé bn