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a, \(\frac{1}{2}=\frac{x-1}{4}=\frac{y-2}{6}=\frac{5}{2z-4}\)
Xét: \(\frac{1}{2}=\frac{x-1}{4}\Leftrightarrow\frac{2}{4}=\frac{x-1}{4}\Leftrightarrow2=x-1\Leftrightarrow x=3\)
Xét : \(\frac{1}{2}=\frac{y-2}{6}\Leftrightarrow\frac{3}{6}=\frac{y-2}{6}\Leftrightarrow3=y-2\Leftrightarrow y=5\)
Xét : \(\frac{1}{2}=\frac{5}{2z-4}\Leftrightarrow2z-4=10\Leftrightarrow2z=14\Leftrightarrow z=7\)
\(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-3}{97}+\frac{x-4}{96}=4\)
\(\Leftrightarrow\left(\frac{x-1}{99}+\left(-1\right)\right)+\left(\frac{x-2}{98}+\left(-1\right)\right)+\left(\frac{x-3}{97}+\left(-1\right)\right)+\left(\frac{x-4}{96}+\left(-1\right)\right)=0\)
\(\Leftrightarrow\frac{x-100}{99}+\frac{x-100}{98}+\frac{x-100}{97}+\frac{x-100}{96}=0\)
\(\Leftrightarrow\left(x-1\right).\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\right)=0\)
\(\Leftrightarrow x-1=0\)
\(\Leftrightarrow x=1\)
a) x - 3 = -4
<=> x = -4 + 3
<=> x = -1
Vậy x = -1
b) x + 25 = 10
<=> x = 10 - 25
<=> x = -15
Vậy x = -15
c) | x | = 5
<=> \(\orbr{\begin{cases}x=5\\x=-5\end{cases}}\)
Vậy x = -5 hoặc x = 5
d) Ta có : -2 < x < 2 => x = { -1; 0;1}
Vậy x = { -1;0;1}
a,\(x-3=-4\)
\(x=-4+3\)
\(x=-1\)
b,\(x+25=10\)
\(x=10-25\)
\(x=-15\)
c,\(-2< x< 2\)
\(\Rightarrow x\in\left(-1;0;1\right)\)
e,\(|x|< 4\)
\(\Rightarrow x\in\left(1;-1;2;-2;3;-3\right)\)
CHÚC BẠN HỌC TỐT
\(\frac{a}{27}=\frac{-5}{9}=\frac{-45}{b}\)
\(=>\frac{a.3}{81}=\frac{-45}{81}=\frac{-45}{b}\)
=>b=81
a.3=-45
a=-15
Vậy a=-15;b=81
x - 2 = -3
x = -3 + 2
x = -1
x + 4 = -2
x = -2 - 4
x = -6
x - (-4) = 1
x + 4 = 1
x = 1 - 4
x = -3
x + 8 = -5 + 4
x + 8 = -1
x = -1 - 8
x = -9
x-2=-3
x = -3+2
x=-1
x+4=-2
x=(-2)-4
x=-6
x-2=-6
x=-6+2
x=-4
x-(-4)=1
=> x+4=1
x= 1-4
x=-3
x+8=-5+4
x+8=-1
x=-1-8
x=-9
Câu 1,
x+y=-1/3 ; y+z=5/4 ; x+z= 4/3
=> 2(x+y+z)=9/4
=> x+y+z=9/8
Ta lại có: x+y=-1/3
=> z=9/8 -(-1/3)=35/24
Ta lại có: z+y=5/4
=> y=-5/24
=> x=.....
Câu 2:
\(-4\le x\le-\frac{11}{18}\)
(2+x)+(4+x)+...+(52+x)=780
(2+4+...+52)+(x+...+x)=780
26x+702=780
26x=780-702
26x=78
x=78/26
x=3
(2 + x) + (4 + x) + ...... + (52 + x) = 780
702 + 26x = 780
26x = 78
=> x = 3
a) 5x - 206 = 24. 4
5x - 206 = 16 . 4
5x - 206 = 64
5x = 64 + 206
5x = 270
x = 270 : 5
x = 54
Vậy x = 54
(x - 4)2 = (x - 4)4
<=> (x - 4)2 - (x - 4)4 = 0
<=> (x - 4)2 [ 1 - (x - 4)2 ] = 0
<=> \(\orbr{\begin{cases}\left(x-4\right)^2=0\\1-\left(x-4\right)^2=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x-4=0\\\left(x-4\right)^2=1\end{cases}\Leftrightarrow\orbr{\begin{cases}x-4=0\\\left(x-4\right)^2=1\end{cases}}}\)
Giải (x - 4)2 = 1
TH1: x - 4 = -1
<=> x = 3
TH2: x - 4 = 1
<=> x = 5
\(\left(x-4\right)^2-\left(x-4\right)^4=0\)
\(\Leftrightarrow\left(x-4\right)^2\left(1-\left(x-4\right)^2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\\left(x-4\right)^2=1\end{cases}}\)\(\Rightarrow\hept{\begin{cases}x=4\\x=3\\x=5\end{cases}}\)