=2x+19/21-2x+17/23=2x+7/33-2x+5/35
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\(\dfrac{2x+19}{21}-\dfrac{2x+17}{23}=\dfrac{2x+7}{33}-\dfrac{2x+5}{35}\)
\(\Rightarrow\dfrac{2x+19}{21}-\dfrac{2x+17}{23}-\dfrac{2x+7}{33}+\dfrac{2x+5}{35}=0\)
\(\Rightarrow\left(\dfrac{2x+19}{21}+1\right)-\left(\dfrac{2x+17}{23}+1\right)-\left(\dfrac{2x+7}{33}+1\right)+\left(\dfrac{2x+5}{35}+1\right)=0\)
\(\Rightarrow\dfrac{2x+40}{21}-\dfrac{2x+40}{23}-\dfrac{2x+40}{33}+\dfrac{2x+40}{35}=0\)
\(\Rightarrow\left(2x+40\right)\left(\dfrac{1}{21}-\dfrac{1}{23}-\dfrac{1}{33}+\dfrac{1}{35}\right)=0\)
\(\Rightarrow2x+40=0\Rightarrow x=-20\)( do \(\dfrac{1}{21}-\dfrac{1}{23}-\dfrac{1}{33}+\dfrac{1}{35}>0\))
Ta có: \(\dfrac{2x+19}{21}-\dfrac{2x+17}{23}=\dfrac{2x+7}{33}-\dfrac{2x+5}{35}\)
\(\Leftrightarrow\left(2x+40\right)\left(\dfrac{1}{21}-\dfrac{1}{23}-\dfrac{1}{33}+\dfrac{1}{35}\right)=0\)
\(\Leftrightarrow2x+40=0\)
hay x=-20
a) |2x-3|+x=21
|2x-3|=21-x
\(\Rightarrow\)\(\orbr{\begin{cases}2x-3=21-x\\2x-3=-\left(21-x\right)\end{cases}}\)
TH1: 2x-3=21-x
2x-x=21+3
x=24
TH2: 2x-3=-(21-x)
2x-3 = -21+x
2x-x=-21+3
x=-18
Vậy x \(\varepsilon\){-18;24}
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x2 - 16x - 34 = 10x2 + 3x - 34
=> 10x2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0
hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10
Vậy x = 0 ; x = 19/10
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34
=> 10x 2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0 hoặc 10x - 19 = 0
=> 10x = 19
=> x = 19/10
Vậy x = 0 ; x = 19/10
5/2+x=-3/5
x=-3/5-5/2
x=-31/10
vậy x=-31/10
-2x+5=23
-2x=23-5
-2x=18
x=18:-2
x=-9
vậy x=-9
Bài làm :
\(\frac{5}{2}+x=-3,5\)
\(\Leftrightarrow x=-3,5-\frac{5}{2}=-6\)
\(-2x+5=23\)
\(\Leftrightarrow-2x=18\)
\(\Leftrightarrow x=-9\)
\(\frac{x}{21}=\frac{2}{7}-\frac{4}{3}\)
\(\Leftrightarrow\frac{x}{21}=-\frac{22}{21}\)
\(\Leftrightarrow x=-22\)
\(\frac{5}{3}x-\frac{2}{5}x=\frac{19}{10}\)
\(\Leftrightarrow x\left(\frac{5}{3}-\frac{2}{5}\right)=\frac{19}{10}\)
\(\Leftrightarrow\frac{19}{15}x=\frac{19}{10}\)
\(\Leftrightarrow x=\frac{3}{2}\)
Chúc bạn học tốt !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) \(A=23+\left|2x-\frac{1}{3}\right|\)
Ta có: \(\left|2x-\frac{1}{3}\right|\ge0\forall x\)
\(\Rightarrow\left|2x-\frac{1}{3}\right|+23\ge23\forall x\)
\(A=23\Leftrightarrow\left|2x-\frac{1}{3}\right|=0\Leftrightarrow2x-\frac{1}{3}=0\Leftrightarrow2x=\frac{1}{3}\Leftrightarrow x=\frac{1}{6}\)
Vậy Amin=23 \(\Leftrightarrow x=\frac{1}{6}\)
Câu b, câu c tương tự
2) \(\left|x-3,5\right|+\left|y-1,3\right|=0\)
Ta có: \(\orbr{\begin{cases}\left|x-3,5\right|\ge0\forall x\\\left|y-1,3\right|\ge0\forall y\end{cases}}\Rightarrow\left|x-3,5\right|+\left|y-1,3\right|\ge0\forall x\)
Mà \(\left|x-3,5\right|+\left|y-1,3\right|=0\)
\(\Rightarrow\orbr{\begin{cases}\left|x-3,5\right|=0\\\left|y-1,3\right|=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x-3,5=0\\y-1,3=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=3,5\\y=1,3\end{cases}}}\)
Vậy x=3,5 ; y=1,3
\(-2x-\left(x-17\right)=34-\left(-x+25\right)\)
\(-2x-x+17=34+x-25\)
\(-2x-x-x=34-25-17\)
\(-4x=-8\Leftrightarrow x=2\)
\(17x-\left(16x-37\right)=2x+43\)
\(17x-16x+37=2x+43\)
\(17x-16x-2x=-37+43\)
\(-x=6\Leftrightarrow x=6\)
\(-2x-3\left(x+17\right)=34-2\left(-x+25\right)\)
\(-2x-3x-51=34+2x-50\)
\(-2x-3x-2x=34-50+51\)
\(-7x=35\Leftrightarrow x=-5\)
A, 7x - x = 5^21 : 5^19 + 3 . 2^2 - 7^0
6x = 5^2 + 3 . 4 - 1
6x = 25 + 12 - 1
6x = 37 - 1
6x = 36
x = 6.
B, mình giải ra nhưng số to quá. Bạn thử kiểm tra lại đề xem.
C, 7x - 2x = 6^17 : 6^15 + 44 : 11
5x = 6^2 + 4
5x = 40
x = 8.
tra đi
\(\frac{2x+19}{21}-\frac{2x+17}{23}=\frac{2x+7}{33}-\frac{2x+5}{35}\)
\(\Rightarrow\frac{2x+19}{21}-\frac{2x+17}{23}-\frac{2x+7}{33}+\frac{2x+5}{35}=0\)
\(\Rightarrow\left(\frac{2x+19}{21}+1\right)-\left(\frac{2x+17}{23}+1\right)-\left(\frac{2x+7}{33}+1\right)+\left(\frac{2x+5}{35}+1\right)=0\)
\(\Rightarrow\frac{2x+40}{21}-\frac{2x+40}{23}-\frac{2x+40}{33}+\frac{2x+40}{35}=0\)
\(\Rightarrow\left(2x+40\right)\times\left(\frac{1}{21}-\frac{1}{23}-\frac{1}{33}+\frac{1}{35}\right)=0\)
\(\Rightarrow2x+40=0\)
\(\Rightarrow2x\) \(=0-40=-40\)
\(\Rightarrow x\) \(=\left(-40\right)\div2=-20\left(\text{do }\frac{1}{21}-\frac{1}{23}-\frac{1}{33}+\frac{1}{35}>0\right)\)