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\(\left|\frac{5}{2}-3x\right|=\left|-2,5x-1,2\right|\)
\(\Rightarrow\left|\frac{5}{2}-3x\right|-\left|2,5x-1,2\right|=0\)
\(\Rightarrow\left(\frac{5}{2}-3x\right)-\left(2,5x-1,2\right)=0\)
đến đây tự lm
| 5/2 - 3x | = | -2/5x - 1/2 |
| 5/2 - 3x | - | -2/5x - 1/2 | = 0
Mà GTTĐ luôn lớn hơn hoặc bằng 0
+) 5/2 - 3x = 0
3x = 5/2
x = 5/6
+) -2/5x - 1,2 = 0
-2/5x = 1,2
x = -3
Vậy,...........
ko biết có giữ lời không ta !?? ^^
-3/2 - | 3x + 4 |.2/5= 2
<=> | 3x + 4 | = (2+3/2)/(2/5)
<=> | 3x + 4 | = 35/4
<=>3x + 4 =35/4
Hoặc 3x + 4 = - 35/4
Tự giải nốt nha
\(\frac{7}{12}-0,75:\left(4x-3\right)^2=\frac{-3}{2}\)
\(\frac{3}{4}:\left(4x-3\right)^2=\frac{25}{12}\)
\(\left(4x-3\right)^2=\frac{9}{25}=\left(\frac{\pm3}{5}\right)^2\)
+) 4x - 3 = 3/5
4x = 18/5
x = 9/10
+) 4x - 3 = -3/5
4x = 12/5
x = 3/5
Vậy,.........
\(\frac{7}{12}-0,75:\left(4x-3\right)^2=-\frac{3}{2}\)
\(\Leftrightarrow\frac{7}{12}.12\left(4x-3\right)^2-\frac{0,75}{\left(4x-3\right)^2}.12\left(4x-3\right)^2=-\frac{3}{2}.12\left(4x-3\right)^2\)
\(\Leftrightarrow7\left(4x-3\right)^2-9=-18\left(4x-3\right)^2\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{9}{10}\\x=\frac{3}{5}\end{cases}}\)
\(\frac{x}{y}=\frac{-2}{5}\Rightarrow\frac{x}{-2}=\frac{y}{5}\)
Áp dụng tính chất của dãy tỉ số bằng nhau ta có :
\(\frac{x}{-2}=\frac{y}{5}=\frac{3x+4x}{-6+20}=\frac{-28}{14}=-2\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{-2}=-2\\\frac{y}{5}=-2\end{cases}\Rightarrow\hept{\begin{cases}x=4\\y=-10\end{cases}}}\) Admin (a@olm.vn)
Vậy,..........
x/y = -2/5 và 3x + 4y = -28
ta có: \(\frac{x}{y}=\frac{-2}{5}\Rightarrow\frac{x}{-2}=\frac{y}{5}=\frac{3x}{-6}=\frac{4y}{20}.\)
ADTCTDTSBN
...
Ai chẳng biết chuyển vế đổi dấu :v
a) \(x-7=4x+10\)
\(x-4x=10+7\)
\(-3x=17\)
\(x=\dfrac{17}{-3}\)
Vậy \(x=\dfrac{17}{-3}\)
b) \(2x+5=-3x+7\)
\(2x+3x=7-5\)
\(5x=2\)
\(x=\dfrac{2}{5}\)
Vậy \(x=\dfrac{2}{5}\)
c) \(x-\left(3x+7\right)=6x-1\)
\(x-3x-7=6x-1\)
\(-2x-7=6x+1\)
\(-7-1=6x+2x\)
\(-8=8x\)
\(x=\dfrac{-8}{8}=-1\)
Vậy \(x=-1\)
d) \(x+\left(5x-1\right)=15\)
\(x+5x-1=15\)
\(6x=15+1\)
\(6x=16\)
\(x=\dfrac{16}{6}=\dfrac{8}{3}\)
Vậy \(x=\dfrac{8}{3}\)
1 , x - 7 = 4x + 10
x - 4x = 10 + 7
- 3x = 17
x = 17 : ( - 3 )
x = \(\dfrac{-17}{3}\)
2 , 2x + 5 = -3x + 7
2x + 3x = 7 -5
5x = 2
x = 2 : 5
x =\(\dfrac{2}{5}\)
3 , x - ( 3x + 7 ) = 6x - 1
x - 3x - 7 = 6x - 1
x - 3x -6x = -1 +7
-8x = 6
x = 6 : ( -8 )
x = \(\dfrac{-3}{4}\)
4 , x + ( 5x -1 ) = 15
x + 5x - 1 = 15
x + 5x = 15 + 1
6x = 16
x = 16 : 6
x = \(\dfrac{8}{3}\)
5 , / x + 1 / = / 2x - 5 /
TH 1 : x + 1 = 2x - 5
x - 2x = -5 -1
- x = -4
= > x = 4
TH 2 : -x -1 = -2x + 5
-x + 2x = 5 + 1
x = 6
6 , / 3x + 8 / - / x -10 / = 0
3x + 8 - x + 10 = 0
3x - x = 0 - 10 - 8
2 x = -18
x = -18 : 2
x = - 9
\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=\left(\frac{-4}{5}\right)^3\)
\(\frac{3}{5}-\frac{2}{3}x=\frac{-4}{5}\)
\(\frac{2}{3}x=\frac{7}{5}\)
\(x=\frac{21}{10}\)
\(\left(\frac{3}{5}-\frac{2}{3}.x\right)^3=\frac{-64}{125}\)
\(\Leftrightarrow\left(\frac{3}{5}-\frac{2}{3}.x\right)^3=\left(-\frac{4}{5}\right)^3\)
\(\Rightarrow\frac{3}{5}-\frac{2}{3}.x=-\frac{4}{5}\)
\(\Leftrightarrow\frac{2}{3}.x=\frac{3}{5}-\left(-\frac{4}{5}\right)\)
\(\Leftrightarrow\frac{2}{3}.x=\frac{3}{5}+\frac{4}{5}\)
\(\Leftrightarrow\frac{2}{3}.x=\frac{7}{5}\)
\(\Leftrightarrow x=\frac{7}{5}:\frac{2}{3}\)
\(\Leftrightarrow x=\frac{21}{10}\)
Vậy \(x=\frac{21}{10}\)
\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=\frac{-64}{125}\)
\(\left(\frac{3}{5}-\frac{2}{3}x\right)^3=\left(\frac{-4}{5}\right)^3\)
\(\frac{3}{5}-\frac{2}{3}x=\frac{-4}{5}\)
\(\frac{9}{15}-\frac{10x}{15}=\frac{-12}{15}\)
\(-\frac{10x}{15}=\frac{9}{15}-\frac{-12}{15}\)
\(\text{ }-10x=9+12\)
\(-10x=21\)
\(x=\frac{-21}{10}\)
k nha
( 5/4x - 2/3 )^4 = 57/16 + 3/2
=> ( 5/4x - 2/3 )^4 = 81/16
=> ( 5/4x - 2/3 )^4 = 3^4/2^4
=> 5/4x - 2/3 = 3/2
=> 5/3x = 13/6
=> x = 13/10
Vậy x = 13/10
\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}\)
\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}+\frac{3}{2}\)
\(\left(\frac{5}{4}x-\frac{2}{3}\right)=\frac{81}{16}\)
Ta xét 2th:
Th1: \(\frac{5}{4}x-\frac{2}{3}=\left(\frac{81}{16}\right)^{\frac{1}{4}}\)
\(\Rightarrow x=\frac{26}{15}\)
Th2: \(\frac{5}{4}x-\frac{2}{3}=-\left(\frac{81}{16}\right)^{\frac{1}{4}}\)
\(\Rightarrow x=-\frac{2}{3}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{26}{15}\\x=-\frac{2}{3}\end{cases}}\)
ta có: f(x) + g(x) = ( 7 x^6 - 6x ^5 +5x^4 -4x^3 +3x^2 -2x +1) - ( x - 2x^2 +3x^3 - 4x^4 + 5x^5 - 6x^6)
\(=7x^6-6x^5+5x^4-4x^3+3x^2-2x+1-x+2x^2-3x^3+4x^4-5x^5+6x^6\)
\(=\left(7x^6+6x^6\right)-\left(6x^5+5x^5\right)+\left(5x^4+4x^4\right)-\left(4x^3+3x^3\right)+\left(3x^2+2x^2\right)-\left(2x+x\right)+1\)
\(=13x^6-11x^5+9x^4-7x^3+5x^2-3x+1\)
Chúc bn học tốt !!!!!!
Uhhhhhhhhhhhhhhhhhhhhhhhhhh😥😥😥😥😥😥😥😥😥😥😥????????????...............
\(\left|0,75-\frac{5}{4}x\right|=\left|-\frac{2}{3}x+\frac{5}{6}\right|\)
\(\Rightarrow\left|0,75-\frac{5}{4}x\right|-\left|-\frac{2}{3}x+\frac{5}{6}\right|=0\)
Mà GTTĐ luôn lớn hơn hoặc bằng 0
=> +) \(0,75-\frac{5}{4}x=0\)
\(\frac{5}{4}x=0,75\)
\(x=\frac{3}{5}\)
+) \(-\frac{2}{3}x+\frac{5}{6}=0\)
\(-\frac{2}{3}x=-\frac{5}{6}\)
\(x=\frac{5}{4}\)
Vậy,.........
\(|\)0,75 - 5/4x\(|\)= \(|\)-2/3x +5/6 \(|\)
\(\Leftrightarrow\)0,75-5/4x = -2/3x+5/6 hoặc 0,75-5/4x=-(-2/3x+5/6)
TH1: 0,75-5/4x = -2/3x+5/6
\(\Leftrightarrow\)-5/4x+2/3x= 5/6-0,75
\(\Leftrightarrow\)-7/12x= 1/12
\(\Leftrightarrow\)x = 1/12 \(\div\)(-7/12)
\(\Leftrightarrow\)x = -1/7
TH2: 0,75-5/4x=-(-2/3x+5/6)
\(\Leftrightarrow\)0,75 - 5/4x= 2/3x-5/6
\(\Leftrightarrow\)-5/4x-2/3x = -5/6-0.75
\(\Leftrightarrow\)-23/12x= -19/12
\(\Leftrightarrow\)x=-(19/12)\(\div\)(-23/12)
\(\Leftrightarrow\)x=19/23
Vậy, x =-1/7 hoặc x= 19/23