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a) |2x + 1| - 19 = -7
=> \(\left|2x+1\right|=-7+19=12\)
=> \(\left[{}\begin{matrix}2x+1=12\\2x+1=-12\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}2x=12-1=11\\2x=-12-1=-13\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=\frac{11}{2}\\x=-\frac{13}{2}\end{matrix}\right.\)
Vậy:............
b) -28 – 7. |- 3x + 15| = -70
=> \(\text{7. |- 3x + 15| = -28 - (-70) = -28 + 70 = 42}\)
=> \(\left|-3x+15\right|=42:7=6\)
=> \(\left[{}\begin{matrix}-3x+15=6\\-3x+15=-6\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}-3x=6-15=-9\\-3x=-6-15=-6+\left(-15\right)=-21\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=-9:\left(-3\right)=3\\x=x=-21:\left(-3\right)=7\end{matrix}\right.\)
Vậy:.....................
c) |18 – 2. |-x + 5|| = 12
=> \(\left[{}\begin{matrix}18-2.\left|-x+5\right|=12\\18-2.\left|-x+5\right|=-12\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}2.\left|-x+5\right|=18-12=6\\2.\left|-x+5\right|=18-\left(-12\right)=18+12=30\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left|-x+5\right|=6:2=3\\\left|-x+5\right|=30:2=15\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}-x+5=3\\-x+5=-3\end{matrix}\right.\\\left[{}\begin{matrix}-x+5=15\\-x+5=-15\end{matrix}\right.\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}-x=3-5=-2\\-x=-3-5=-8\end{matrix}\right.\\\left[{}\begin{matrix}-x=15-5=10\\-x=-15-5=-20\end{matrix}\right.\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=2\\x=8\end{matrix}\right.\\\left[{}\begin{matrix}x=-10\\x=20\end{matrix}\right.\end{matrix}\right.\)
Dạng 3 :
a) 3x - 10 = 2x + 13
=> 3x - 2x = 13 - 10
=> x = 3
b) x + 12 = -5 - x
=> x + x = -5 - 12
=> 2x = -17
=> x = -8,5
c) x + 5 = 10 - x
=> x + x = 10 - 5
=> 2x = 5
=> x = 2,5
d) 6x + 23 = 2x - 12
=> 2x - 6x = 23 + 12
=> -4x = 35
=> x = -8,75
e) 12 - x = x + 1
=> x + x = 12 - 1
=> 2x = 11
=> x = 5,5
f) 14 + 4x = 3x + 20
=> 4x - 3x = 20 - 14
=> x = 6
a,5x-16+40+x b,4x-10=15-x c,-12+x=5x-20 d,7x-4=20+3x e,5x-7=-21-2x
=5x+x-16+40 4x+x=15+10 20-12=5x-x 7x-3x=20+4 5x+2x=7-21
=6x+24 5x=25 8=4x 4x=24 7x=7+(-21)
=6(x+4) x=25:5 x=8:4=2 x=24:4=6 7x=-14
x=5 x=-14:7=-2
f,x+15=7-6x g,17-x=7-6x h,3x+(-21)=12-8x k,125:(3x-13)=25 l,541+(218-x)=735
6x+x=7-15 6x-x=7-17 3x+8x=12+21 3x-13=125:25 218-x=735-541
7x=7+(-15) 5x=7+(-17) 11x=33 3x-13=5 218-x=194
7x=-8 5x=-10 x=33:11=3 3x=5+13 x=218-194
Không có giá trị của x thích hợp x=-10:5=-2 3x=18 x=24
x=18:3=6
m,3(2x+1)-19=14 n,175-5(x+3)=85 o,4x-40=4+12 p,x+15=20-4x q,8x+3=-4x+39
3(2x+1)=14+19 5(x+3)=175-85 4x-40=16 4x+x=20-15 8x+4x=39-3
3(2x+1)=33 5(x+3)=90 4x=16+40 5x=5 12x=36
2x+1=33;3 x+3=90:5 4x=56 x=5:5=1 x=36:12=3
2x+1=11 x+3=18 x=56:4
2x=11-1 x=18-3=15 x=14
2x=10
x=10:2
x=5
r,6x-12+(-2)=20-4x
6x-14=20-4x
6x+4x=20+14
10x=34
không có giá trị nào của x thích hợp
TRONG HAI CÂU O VÀ P TỚ KHÔNG VIẾT ĐỀ BÀI MÀ LÀM LUÔN. NHỚ K CHO MÌNH NHÉ.
THÙY LINH CÂU A TUI NHẦM!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PHẢI LÀ
\(5x-16=40+x!!!!!!!!!!\)
a)\(x+12=-23+5\)
\(< =>x+12+23-5=0\)
\(< =>x+30=0\)
\(< =>x=-30\)
n.(2x-5)2=9
(2x-5)2=32
* 2x-5=3 * 2x-5=-3
2x=3+5 2x=-3+5
2x=8 2x=2
x=8:2 x=2:2
x=4 x=1
vậy x=4 hoặc x=1
o.(1-3x )3=-8
(1-3x)3=(-2)3
1-3x=-2
3x=1-(-2)
3x=3
x=3:3
x=1
vậy x=1
a,3x-10=2x+13
\(\Rightarrow\)3x-2x=10+13
\(\Rightarrow\)x=23
b,x+12=-5-x
\(\Rightarrow\)x+x=-12-5
\(\Rightarrow\)2x=-17
\(\Rightarrow\)x=-8,5
c,x+5=10-x
\(\Rightarrow\)x+x=-5+10
\(\Rightarrow\)2x=5
\(\Rightarrow\)x=2,5
e,12-x=x+1
\(\Rightarrow\)-x-x=-12+1
\(\Rightarrow\)-2x=-11
\(\Rightarrow\)x=5,5
f,14+4x=3x+20
\(\Rightarrow\)4x-3x=-14+20
\(\Rightarrow\)x=6
g,2.(x-1)+3(x-2)=x-4
\(\Rightarrow\)2x-2+3x-6=x-4
\(\Rightarrow\)2x-2+3x-6-x+4=0
\(\Rightarrow\)4x-4=0
\(\Rightarrow\)4x=4
\(\Rightarrow\)x=1
h,3(4-x)-2(x-1)=x+20
\(\Rightarrow\)12-3x-2x+2-x-20=0
\(\Rightarrow\)-6x-6=0
\(\Rightarrow\)-6x=6
\(\Rightarrow\)x=-1
i,4(2x+7)-3(3x-2)=24
\(\Rightarrow\)8x+28-9x+6=24
\(\Rightarrow\)-x+34=24
\(\Rightarrow\)-x=-10
\(\Rightarrow\)x=10
k,3(x-2)+2x=10
\(\Rightarrow\)3x-6+2x=10
\(\Rightarrow\)5x-6=10
\(\Rightarrow\)5x=16
\(\Rightarrow\)x=3,2
Phần d, tớ không biết làm!!!!
Bài 1:
a)
\(\dfrac{x-1}{9}=\dfrac{8}{3}\\ \Leftrightarrow\dfrac{x-1}{9}=\dfrac{24}{9}\\ \Leftrightarrow x-1=24\\ x=24+1\\ x=25\)
b)
\(\left(\dfrac{3x}{7}+1\right):\left(-4\right)=\dfrac{-1}{8}\\ \dfrac{3x}{7}+1=\dfrac{-1}{8}\cdot\left(-4\right)\\ \dfrac{3x}{7}+1=\dfrac{1}{2}\\ \dfrac{3x}{7}=\dfrac{1}{2}-1\\ \dfrac{3x}{7}=\dfrac{-1}{2}\\ 3x=\dfrac{-1}{2}\cdot7\\ 3x=\dfrac{-7}{2}\\ x=\dfrac{-7}{2}:3\\ x=\dfrac{-7}{6}\)
c)
\(x+\dfrac{7}{12}=\dfrac{17}{18}-\dfrac{1}{9}\\ x+\dfrac{7}{12}=\dfrac{5}{6}\\ x=\dfrac{5}{6}-\dfrac{7}{12}\\ x=\dfrac{1}{4}\)
d)
\(0,5x-\dfrac{2}{3}x=\dfrac{7}{12}\\ \dfrac{1}{2}x-\dfrac{2}{3}x=\dfrac{7}{12}\\ x\cdot\left(\dfrac{1}{2}-\dfrac{2}{3}\right)=\dfrac{7}{12}\\ \dfrac{-1}{6}x=\dfrac{7}{12}\\ x=\dfrac{7}{12}:\dfrac{-1}{6}\\ x=\dfrac{-7}{2}\)
e)
\(\dfrac{29}{30}-\left(\dfrac{13}{23}+x\right)=\dfrac{7}{46}\\ \dfrac{29}{30}-\dfrac{13}{23}-x=\dfrac{7}{46}\\ \dfrac{277}{690}-x=\dfrac{7}{46}\\ x=\dfrac{277}{690}-\dfrac{7}{46}\\ x=\dfrac{86}{345}\)
f)
\(\left(x+\dfrac{1}{4}-\dfrac{1}{3}\right):\left(2+\dfrac{1}{6}-\dfrac{1}{4}\right)=\dfrac{7}{46}\\ \left(x-\dfrac{1}{12}\right):\dfrac{23}{12}=\dfrac{7}{46}\\ x-\dfrac{1}{12}=\dfrac{7}{46}\cdot\dfrac{23}{12}\\ x-\dfrac{1}{12}=\dfrac{7}{24}\\ x=\dfrac{7}{24}+\dfrac{1}{12}\\ x=\dfrac{3}{8}\)
g)
\(\dfrac{13}{15}-\left(\dfrac{13}{21}+x\right)\cdot\dfrac{7}{12}=\dfrac{7}{10}\\ \left(\dfrac{13}{21}+x\right)\cdot\dfrac{7}{12}=\dfrac{13}{15}-\dfrac{7}{10}\\ \left(\dfrac{13}{21}+x\right)\cdot\dfrac{7}{12}=\dfrac{1}{6}\\ \dfrac{13}{21}+x=\dfrac{1}{6}:\dfrac{7}{12}\\ \dfrac{13}{21}+x=\dfrac{2}{7}\\ x=\dfrac{2}{7}-\dfrac{13}{21}\\ x=\dfrac{-1}{3}\)
h)
\(2\cdot\left|\dfrac{1}{2}x-\dfrac{1}{3}\right|-\dfrac{3}{2}=\dfrac{1}{4}\\ 2\cdot\left|\dfrac{1}{2}x-\dfrac{1}{3}\right|=\dfrac{1}{4}+\dfrac{3}{2}\\ 2\cdot\left|\dfrac{1}{2}x-\dfrac{1}{3}\right|=\dfrac{7}{4}\\ \left|\dfrac{1}{2}x-\dfrac{1}{3}\right|=\dfrac{7}{4}:2\\ \left|\dfrac{1}{2}x-\dfrac{1}{3}\right|=\dfrac{7}{8}\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{7}{8}\\\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{-7}{8}\end{matrix}\right.\\ \dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{7}{8}\\ \dfrac{1}{2}x=\dfrac{7}{8}+\dfrac{1}{3}\\ \dfrac{1}{2}x=\dfrac{29}{24}\\ x=\dfrac{29}{24}:\dfrac{1}{2}\\ x=\dfrac{29}{12}\\ \dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{-7}{8}\\ \dfrac{1}{2}x=\dfrac{-7}{8}+\dfrac{1}{3}\\ \dfrac{1}{2}x=\dfrac{-13}{24}\\ x=\dfrac{-13}{24}:\dfrac{1}{2}\\ x=\dfrac{-13}{12}\)
i)
\(3\cdot\left(3x-\dfrac{1}{2}\right)^3+\dfrac{1}{9}=0\\ 3\cdot\left(3x-\dfrac{1}{2}\right)^3=0-\dfrac{1}{9}\\ 3\cdot\left(3x-\dfrac{1}{2}\right)^3=\dfrac{-1}{9}\\ \left(3x-\dfrac{1}{2}\right)^3=\dfrac{-1}{9}:3\\ \left(3x-\dfrac{1}{2}\right)^3=\dfrac{-1}{27}\\ \left(3x-\dfrac{1}{2}\right)^3=\left(\dfrac{-1}{3}\right)^3\\ \Leftrightarrow3x-\dfrac{1}{2}=\dfrac{-1}{3}\\ 3x=\dfrac{-1}{3}+\dfrac{1}{2}\\ 3x=\dfrac{1}{6}\\ x=\dfrac{1}{6}:3\\ x=\dfrac{1}{18}\)
a) \(\left(19x+2\times5^2\right):14=\left(13-8\right)^2-4^2\)
\(\Rightarrow\left(19x+50\right):14=5^2-4^2=25-16=9\)
\(\Rightarrow19x+50=126\)
\(\Rightarrow19x=76\Rightarrow x=4\)
Vậy x = 4
b) \(2\times3^2=10\times3^{12}+8\times27^4\)
\(\Rightarrow2\times3^2=10\times\left(3^3\right)^4+8\times27^4\)
\(\Rightarrow2\times3^2=27^4\times\left(10+8\right)\)
\(\Rightarrow18=27^4\times18\)
\(\Rightarrow27^4\times18-18=0\Rightarrow18\times\left(27^4-1\right)=0\)
=> Không thấy biến x đâu cả
c) Ta thấy 33 = 27
\(\Rightarrow3^{2x-5}=3^3\Rightarrow2x-5=3\Rightarrow2x=8\Rightarrow x=4\)
Vậy x = 4
d) \(3^{x+1}-x=80\Rightarrow3^{x+1}=81\)
Ta thấy 34 = 81
\(\Rightarrow3^{x+1}=3^4\Rightarrow x+1=4\Rightarrow x=3\)
Vậy x = 3
lop 4 4674=10000 = bao nhiêu