Tìm x, biết:
a) x : 4 = 8
b) 4 × x = 12 + 8
c) 30 : x = 14 + 16
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Câu 14:
a. \(\text{3 + x = - 8}.\) \(\Leftrightarrow x=-8-3=-11.\)
b. \(\text{(35 + x) - 12 = 27}.\)
\(\Leftrightarrow35+x=27+12.\)
\(\Leftrightarrow35+x=39.\Leftrightarrow x=39-35=14.\)
c. \(2^x+15=31.\)
\(\Leftrightarrow2^x=16.\)
\(\Leftrightarrow2^x=2^4.\)
\(\Leftrightarrow x=4.\)
a: Ta có: \(30⋮x\)
\(\Leftrightarrow x\in\left\{1;-1;2;-2;3;-3;5;-5;6;-6;10;-10;15;-15;30;-30\right\}\)
mà x<8
nên \(x\in\left\{1;2;3;5;6;-1;-2;-3;-5;-6;-10;-15;-30\right\}\)
b: Ta có: \(70⋮x\)
\(84⋮x\)
Do đó: \(x\inƯC\left(70;84\right)\)
\(\Leftrightarrow x\in\left\{1;2;7;14;-1;-2;-7;-14\right\}\)
mà x>8
nên x=14
c: Ta có: \(90⋮x\)
\(126⋮x\)
Do đó: \(x\inƯC\left(90;126\right)\)
\(\Leftrightarrow x\in\left\{1;-1;2;-2;3;-3;6;-6;9;-9;18;-18\right\}\)
mà x>9
nên x=18
d: Ta có: \(x⋮12\)
\(x⋮25\)
\(x⋮30\)
Do đó: \(x\in BC\left(12;25;30\right)\)
\(x\in\left\{...;-300;0;300;600;...\right\}\)
mà 0<x<500
nên x=300
\(a,\Leftrightarrow\left(x+8\right)\left(8x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=-8\\x=\dfrac{1}{8}\end{matrix}\right.\\ b,\Leftrightarrow\left(y-9\right)^2=0\Leftrightarrow y=9\)
b: \(5x^2+3x-2-4x^2+x+5=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=-3\end{matrix}\right.\)
a) \(\Rightarrow x^8-2x^4-8=0\Rightarrow\left(x^4-4\right)\left(x^4+2\right)=0\)
\(\Rightarrow\left(x^2-2\right)\left(x^2+2\right)\left(x^4+2\right)=0\)
\(\Rightarrow x^2=2\Rightarrow x=\pm\sqrt{2}\)(do \(x^2+2\ge2>0,x^4+2\ge2>0\))
b) \(\Rightarrow x^2+4x+3=0\Rightarrow\left(x+1\right)\left(x+3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-1\\x=-3\end{matrix}\right.\)
a: Ta có: \(\left(8x^2-4x\right):\left(-4x\right)-\left(x+2\right)=8\)
\(\Leftrightarrow-2x+1-x-2=8\)
\(\Leftrightarrow-3x=9\)
hay x=-3
b: Ta có: \(\left(2x^4-3x^3+x^2\right):\left(-\dfrac{1}{2}x^2\right)+4\left(x-1\right)^2=0\)
\(\Leftrightarrow-4x^2+6x-2+4x^2-8x+4=0\)
\(\Leftrightarrow-2x=-2\)
hay x=1
a,-4/7=x/21
-12/21 = x/21
x= -12
b,(x-3)/15=1/-5
x - 3 = -1/5 * 15
x - 3 = -3
x = 0
c,.(3x+8)/-12=-5/30
=> 3x + 8 = 2
=> 3x=-6
=>x=-2
a: \(\Leftrightarrow\dfrac{x}{-4}=\dfrac{21}{y}=\dfrac{z}{-80}=\dfrac{3}{4}\)
=>x=-3; y=28; z=-60
b: 5/12=x/-72
=>x=-72*5/12=-6*5=-30
c: =>x+3=-5
=>x=-8
a) x : 4 = 8
x = 8 × 4
x = 32
b) 4 × x = 12 + 8
4 × x = 20
x = 20 : 4
x = 5
c) 30 : x = 14 + 16
30 : x = 30
x = 30 : 30
x = 1