Bài 1: Tìm x, biết:
1) 24 ⋮ x; 36 ⋮x ; 150 ⋮ x và x lớnnhất. 3) x ∈ ƯC(54 ; 12) và x > -10 | 2) x∈ BC(6; 4) và 16 ≤ x ≤50. 4) x ⋮ 4; x ⋮ 5; x ⋮ 8 và -20 < x < 180 |
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a. x+23=-11
x =( -11)-23
x =-34
b. x-24=-11
x =(-11)+24
x =13
Bài 1:
\(101\cdot125+101\cdot25-101\cdot50\)
\(=101\cdot\left(125+25-50\right)\)
\(=101\cdot100\)
\(=10100\)
Bài 2:
\(76\cdot115+56\cdot24+59\cdot24\)
\(=76\cdot115+24\cdot\left(56+59\right)\)
\(=76\cdot115+24\cdot115\)
\(=115\cdot\left(76+24\right)\)
\(=115\cdot100\)
\(=11500\)
xin lỗi
phải là 30 x ( X + 2 ) - 6 x ( X - 5 ) - 24 x X = 100
a) x/12 = -1/24 - 1/8
x/12 = -1/6
x/12 = 2/12
x = 2 X 12 : 12
Vậy x = 2
b) 2/3 . x - 1/2 .x = 5/4
x.(2/3-1/2) = 5/4
x.1/6 = 5/4
x = 5/4 :1/6
Vậy x = 15/2
1) \(31,5\cdot0,1+3x=7,65\)
\(\Leftrightarrow3,15+3x=7,65\)
\(\Leftrightarrow3x=4,5\)
\(\Leftrightarrow x=1,5\)
b)\(\frac{3}{8}+\left(x-\frac{5}{24}\right):\frac{2}{3}=1\)
\(\Leftrightarrow\left(x-\frac{5}{24}\right):\frac{2}{3}=\frac{5}{8}\)
\(\Leftrightarrow x-\frac{5}{24}=\frac{5}{12}\)
\(\Leftrightarrow x=\frac{5}{8}\)
1. \(31,5.0,1+3x=7,65\)
\(\Leftrightarrow3,15+3x=7,65\)
\(\Leftrightarrow3x=4,5\)
\(\Leftrightarrow x=1,5\)
2. \(\frac{3}{8}+\left(x-\frac{5}{24}\right):\frac{2}{3}=1\)
\(\Leftrightarrow\left(x-\frac{5}{24}\right):\frac{2}{3}=\frac{5}{8}\)
\(\Leftrightarrow x-\frac{5}{24}=\frac{5}{8}.\frac{2}{3}\)
\(\Leftrightarrow x-\frac{5}{24}=\frac{5}{12}\)
\(\Leftrightarrow x=\frac{5}{8}\)
1: =>\(5^{x-2}-9=2^4-\left(6^2-6^2\right)\)
=>\(5^{x-2}=16+9=25\)
=>x-2=2
=>x=4
2: \(\Leftrightarrow3^x+16=19^6:19^5-3=19-3=16\)
=>3^x=0
=>x=0
3: \(\Leftrightarrow2^x+2^x\cdot16=272\)
=>2^x*17=272
=>2^x=16
=>x=4
4: \(\Leftrightarrow2^{x-1}+3=24-\left(4^2-2^2+1\right)=24-\left(16-4+1\right)\)
=>\(2^{x-1}+3=24-16+4-1=8+4-1=12-1=11\)
=>2^x-1=8
=>x-1=3
=>x=4
\(1,\\ a,ĐK:\left\{{}\begin{matrix}x\ge0\\x+5\ge0\end{matrix}\right.\Leftrightarrow x\ge0\\ b,Sửa:B=\left(\sqrt{3}-1\right)^2+\dfrac{24-2\sqrt{3}}{\sqrt{2}-1}\\ B=4-2\sqrt{3}+\dfrac{2\sqrt{3}\left(\sqrt{2}-1\right)}{\sqrt{2}-1}\\ B=4-2\sqrt{3}+2\sqrt{3}=4\\ 3,\\ =\left[1-\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{1+\sqrt{x}}\right]\cdot\dfrac{\sqrt{x}-3+2-2\sqrt{x}}{\left(1-\sqrt{x}\right)\left(\sqrt{x}-3\right)}-2\\ =\left(1-\sqrt{x}\right)\cdot\dfrac{-\sqrt{x}-1}{\left(1-\sqrt{x}\right)\left(\sqrt{x}-3\right)}-2\\ =\dfrac{-\sqrt{x}-1}{\sqrt{x}-3}-2=\dfrac{-\sqrt{x}-1-2\sqrt{x}+6}{\sqrt{x}-3}=\dfrac{-3\sqrt{x}+5}{\sqrt{x}-3}\)
\(\left(2x+1\right)\left(y+2\right)=24=1.24=2.12=3.8=4.6\left(soamnua\right)\)
2x+1=1;3; (-1); (-3)
2x=-1+{1,3,-1,-3}
x={0,1,-1,-2}
y+2=24,8,-24-8
y={22,6,-26,-10}
1: \(\Leftrightarrow x=UCLN\left(24;36;150\right)=6\)
2: \(\Leftrightarrow x\in\left\{24;48;72;...\right\}\)
mà 16<=x<=50
nên \(x\in\left\{24;48\right\}\)
3: \(\Leftrightarrow x\inƯ\left(6\right)\)
mà x>-10
nên \(x\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\)
4: \(\Leftrightarrow x\in BC\left(4;5;8\right)\)
\(\Leftrightarrow x\in\left\{...;-40;0;40;80;120;160;200;...\right\}\)
mà -20<x<180
nên \(x\in\left\{0;40;80;120;160\right\}\)