giải giúp mik câu 13,18,19,20 nhé. Cảm ơn bạn nhiều
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\(g,4=2^2;6=2.3\\ \Rightarrow BCNN\left(4,6\right)=2^2.3=12\\ \Rightarrow x\in BC\left(4,6\right)=B\left(12\right)=\left\{0;12;24;36;48;60;...\right\}\\ \text{Mà }0< x< 50\\ \Rightarrow x\in\left\{12;24;36;48\right\}\\ h,12=2^2.3;18=2.3^2\\ \Rightarrow BCNN\left(12,18\right)=2^2.3^2=36\\ \Rightarrow x\in BC\left(12,18\right)=B\left(36\right)=\left\{0;36;72;108;144;180;216;252;...\right\}\\ \text{Mà }x< 250\\ \Rightarrow x\in\left\{0;36;72;108;144;180;216\right\}\)
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 \(x< 50\Rightarrow x\in\left\{0;\pm36;\pm72;\pm108;\pm144;\pm180;\pm216\right\}\)
3 . ( 2x - 1 ) - 2 = 13
3 . ( 2x - 1 ) = 12 + 3
3 . ( 2x - 1 ) = 15
2x - 1 = 15 : 3
2x - 1 = 5
2x = 5 + 1 = 6
x = 6 : 2 = 3
Vậy x = 3
\(3\left(2x-1\right)-2=13\)
\(3\left(2x-1\right)=15\)
\(2x-1=5\)
\(2x=6\)
\(x=3\)
(2x-1)(y+4)=11
Ta có:11=1.11=11.1=(-1).(-11)=(-11).(-1)
Do đó ta có bảng sau:
y+4 | -11 | -1 | 1 | 11 |
2x-1 | -1 | -11 | 11 | 1 |
2x | 0 | -10 | 12 | 2 |
x | 0 | -5 | 6 | 1 |
y | -15 | -5 | -3 | 7 |
\(\left(2x-1\right)\left(y-2\right)=-11\)
\(2x-1;y-2\inƯ\left(-11\right)=\left\{\pm1;\pm11\right\}\)
Tự lập bảng
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)\(x^3+x^2-4x=4\)
\(\Leftrightarrow x^2\left(x+1\right)-4\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2-4\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x-2\right)\left(x+2\right)\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{x=0}{x=2}\\\overline{x=-2}\end{cases}}\)
13 D
18 A
19 C
20 A