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a: =>2x-2/3-3x+3/2=1/2x
=>-3/2x=-5/6
=>x=5/6:3/2=5/6x2/3=10/18=5/9
b: =>-3x+3/4-1/3x-1/6=x
=>-13/3x=-7/12
=>x=7/12:13/3=7/12x3/13=21/156=7/52
\(x\times x^2\times x^3\times x^4\times...\times x^{100}=x^{1+2+3+4+...+100}=x^{101\times500}=x^{5050}\)
a) \(\left(x-3\right)^2\) = \(\left(-3\right)^2\) + \(\left(-4\right)^2\)
\(\left(x-3\right)^2=9+16\)
\(\left(x-3\right)^2=25\)
\(\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=5+3=8\)
Vậy x = 8
b) -12 . (x - 5) +7 . (3 - x) = 5
-12x + 60 + 21 - 7x = 5
-12x - 7x = 5 - 60 - 21
-19x = -76
x = -76 : (-19) =4
Vậy x = 4
a) \(-2\left(x-\dfrac{1}{3}\right)-5\left(x+\dfrac{1}{3}\right)=\dfrac{1}{2}x\)
\(\Leftrightarrow-2x+\dfrac{2}{3}-5x-\dfrac{5}{3}=\dfrac{1}{2}x\)
\(\Leftrightarrow-7x-1=\dfrac{1}{2}x\)
\(\Leftrightarrow-7x-\dfrac{1}{2}x=1\)
\(\Leftrightarrow-\dfrac{15}{2}x=1\)
\(\Leftrightarrow x=1:\left(-\dfrac{15}{2}\right)=-\dfrac{2}{15}\)
b) \(-\left(\dfrac{1}{2}x-\dfrac{3}{4}\right)-\left(-x+1\right)=\dfrac{3}{2}\)
\(\Leftrightarrow-\dfrac{1}{2}x+\dfrac{3}{4}+x-1=\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}x-\dfrac{1}{4}=\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{1}{2}x=\dfrac{3}{2}+\dfrac{1}{4}=\dfrac{7}{4}\)
\(\Leftrightarrow x=\dfrac{7}{4}:\dfrac{1}{2}\)
\(\Leftrightarrow x=\dfrac{7}{2}\)
a, -5/7+ 1+ 30/-7< x < -1/6+ 1/3 +5/6
<=> -4< x <1
<=> x = -3; -2; -1; 0
a, \(\dfrac{-5}{7}+1+\dfrac{30}{-7}\le x\le\dfrac{-1}{6}+\dfrac{1}{3}+\dfrac{5}{6}\)
<=> -4 \(\le x\le1\)
Do x \(\in Z\Rightarrow x=-4;-3;-2;-1;0;1\)
b, \(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{1}{4}\right)< x< \dfrac{1}{48}-\left(\dfrac{1}{16}-\dfrac{1}{6}\right)\)
<=> -\(\dfrac{1}{12}< x< \dfrac{1}{8}\)
Do x \(\in Z\Rightarrow x=0;1\)
@Mai Tran
a) x+4(17+8)=63(12+88)
x+4.25=63.100
x+100=6300
x=6300-100
x=6200
b)-2x-14+3x-6=-2
x-20=-2
x=-2+20
x=18
\(x\times3+x\times4+x:3+x:4=182\)
\(x\times3+x\times4+x\times\dfrac{1}{3}+x\times\dfrac{1}{4}=182\)
\(x\times\left(3+4+\dfrac{1}{3}+\dfrac{1}{4}\right)=182\)
\(x\times\dfrac{91}{12}=182\)
\(x=182:\dfrac{91}{12}\)
\(x=24\)