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1. A = (-2)(-3) - 5.|-5| + 125.\(\left(-\dfrac{1}{5}\right)^2\)
= 6 - 25 + 125.\(\dfrac{1}{25}\)
= -19 + 5
= -14
@Shine Anna
a) \(2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Leftrightarrow2x-10-3x-21=14\)
\(\Leftrightarrow-x-31=14\)
\(\Leftrightarrow-x=45\Leftrightarrow x=-45\)
b) \(5\left(x-6\right)-2\left(x+3\right)=12\)
\(\Leftrightarrow5x-30-2x-6=12\)
\(\Leftrightarrow3x-36=12\)
\(\Leftrightarrow3x=48\Leftrightarrow x=16\)
c) \(3\left(x-4\right)-\left(8-x\right)=12\)
\(\Leftrightarrow3x-12-8+x=12\)
\(\Leftrightarrow4x-20=12\)
\(\Leftrightarrow4x=32\Leftrightarrow x=8\)
d) \(-7\left(3x-5\right)+2\left(7x-14\right)=28\)
\(\Leftrightarrow-21x+35+14x-28=28\)
\(\Leftrightarrow-7x+35=0\Leftrightarrow x=5\)
\(B=\left|3x-7\right|-\left|3x+2\right|+8\)
Áp dụng tính chất:
\(\left|x\right|-\left|y\right|\le\left|x-y\right|\)
\(\left|3x-7\right|-\left|3x+2\right|\le\left|3x-7-3x-2\right|\)
\(B\le9+8=17\)
Dấu "=" xảy ra khi:
\(\left[{}\begin{matrix}\left\{{}\begin{matrix}3x-7\ge0\Rightarrow3x\ge7\Rightarrow x\ge\dfrac{7}{3}\\3x+2\ge0\Rightarrow3x\ge-2\Rightarrow x\ge\dfrac{-2}{3}\end{matrix}\right.\\\left\{{}\begin{matrix}3x-7< 0\Rightarrow3x< 7\Rightarrow x< \dfrac{7}{3}\\3x+2< 0\Rightarrow3x< -2\Rightarrow x< -\dfrac{2}{3}\end{matrix}\right.\end{matrix}\right.\)
Vậy \(x\ge\dfrac{7}{3}\) hoặc \(x< -\dfrac{2}{3}\)
Toshiro Kiyoshi bạn nói là nếu cả 2 số đều lớn hơn thì chọn số lớn hơn. Vì \(\dfrac{7}{3}>\dfrac{-2}{3}\) nên mk chọn là \(\dfrac{7}{3}\)Nhưng nếu \(x=2\) thì sao ?
Số đó \(< \dfrac{7}{3}\)
a: =>-3/2+x-7=5-1/3x+4/15
=>4/3x=413/30
hay x=413/40
b: \(\Leftrightarrow5-\dfrac{3}{2}x=-\dfrac{22}{3}\cdot\dfrac{-11}{8}=\dfrac{121}{12}\)
=>3/2x=-61/12
hay x=-61/18
c: (3x+2)2+|3x+2y|=0
=>3x+2=0 và 3x=-2y
=>x=-2/3 và -2y=-2
=>(x,y)=(-2/3;1)
(3x - 7)8 = (3x - 7)6
=> (3x - 7)8 - (3x - 7)6 = 0
=> (3x - 7)6.[(3x - 7)2 - 1) = 0
=> \(\orbr{\begin{cases}\left(3x-7\right)^6=0\\\left(3x-7\right)^2-1=0\end{cases}}\)=> \(\orbr{\begin{cases}3x-7=0\\\left(3x-7\right)^2=1\end{cases}}\)=> \(\orbr{\begin{cases}3x=7\\3x-7\in\left\{1;-1\right\}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{7}{3}\\3x\in\left\{8;6\right\}\end{cases}}\)=> \(\orbr{\begin{cases}x=\frac{7}{3}\\x\in\left\{\frac{8}{3};2\right\}\end{cases}}\)
Vậy \(x\in\left\{\frac{7}{3};\frac{8}{3};2\right\}\)
\(\left(3x-7\right)^8=\left(3x-7\right)^6\)
TH1\(\left(3x-7\right)^2=\left(3x-7\right)^6:\left(3x-7\right)^6\)
\(\left(3x-7\right)^2=1\)
\(\Rightarrow3x-7=1\)
\(3x=8\)
\(x=\frac{8}{3}\)
TH2 \(3x-7=0\)
\(3x=7\)
\(x=\frac{7}{3}\)
Vậy \(x=\frac{8}{3};x=\frac{7}{3}\)