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\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)
th1 :
\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)
th2 :
\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)
vậy_
Đk : x khác 0
=> 35/2x + 720/x = 1/2
=> 35+1440/2x = 1/2
=> 1475/2x = 1/2
=> 1475 = 1/2 . 2x = x
Vậy x = 1475
k mk nha
a) \(0,25\left(x+\frac{1}{2}\right)+\frac{3}{4}+x=\frac{1}{2}\)
\(\Leftrightarrow0,25x+\frac{1}{8}+\frac{3}{4}+x=\frac{1}{2}\)
\(\Leftrightarrow1,25x=-\frac{3}{8}\)
\(\Leftrightarrow x=-\frac{3}{10}\)
c) \(2x^2+4x=0\)
\(\Leftrightarrow2x\left(x+2\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=0\\x+2=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=0\\x=-2\end{array}\right.\)
a) 0,25(x+1/2) + 3/4 + x= 1/2
<=> \(0,25x+\frac{1}{8}+\frac{3}{4}+x=\frac{1}{2}\)
<=> \(\frac{5}{4}x=\frac{1}{2}-\frac{1}{8}-\frac{3}{4}=-\frac{3}{8}\)
<=> x=\(-\frac{3}{10}\)
B) 1/2 ÷(x+7/5)-1/5=0.75
<=> \(\frac{1}{2}:\left(x+\frac{7}{5}\right)-\frac{1}{5}=\frac{3}{4}\)
<=> \(\frac{1}{2x}+\frac{5}{14}-\frac{1}{5}=\frac{3}{4}\)
<=> \(\frac{1}{2x}=\frac{3}{4}+\frac{1}{5}-\frac{5}{14}=\frac{83}{140}\)
<=> x=\(\frac{70}{83}\)
C) 2x^2 + 4x= 0
\(x\left(x+2\right)=0\)
<=> x=0 hoặc x=-2
D) x^2 + 4x = 0<=> x(x+4)=0
<=> x=0 hoặc x=-4
70:4x + 720/x = 1/2
=> 70/4x + 2880/4x = 1/2
=> 2950/4x = 1/2
=> x = 1475
a: =5x^3-5x^2y+5x-2x^2y+2xy^2-2y
=5x^3-7x^2y+2xy^2+5x-2y
b: =(x^2-1)(x+2)
=x^3+2x^2-x-2
c: =1/2x^2y^2(4x^2-y^2)
=2x^4y^2-1/2x^2y^4
d: =(x^2-1/4)(4x-1)
=4x^3-x^2-x+1/4
e: =x^2-2x-35+(2x+1)(x-3)
=x^2-2x-35+2x^2-6x+x-3
=3x^2-7x-38
a, 11/13 - ( 5/42 - x ) = - (5/28 - 11/13)
11/13 - (5/42 - x) = - 5/28 + 11/13
- (5/42 - x) + 5/28 = -11/13 + 11/13
- 5/42 + x + 5/28 = 0
- 5/42 + x = 0 - 5/28
- 5/42 + x = - 5/28
x = -5/28 +5/42
x = - 5/84
b, / x + 4/15 \ - / - 3,75 \ = - / - 2,15 \
./ x + 4/15 \ - 3,75 = - 2,15
/ x + 4/15 \ = -2,15 + 3,75
/ x + 4/15 \ = 1,6
x + 4 / 15 = 1,6 hoặc x+ 4/15 = - 1,6
x = 1,6 - 4/15 x = - 1,6 -4/15
x = 4/3 x = -28/15
Vậy x = 4/3 hoặc x = - 28/15
c, ( 0,25 - 30% x ) . 1/3 = 1/4 - 31/6
( 1/4 - 3/10 x ) . 1/3 = - 59/12
( 1/4 - 3/10 x ) = - 59/12 : 1/3
1/4 - 3/10 x = - 59/4
3/10 x = 1/4 + 59/4
3/10 x = 15
x = 15 : 3/10
x = 50
d, ( x - 1/2 ) : 1/3 + 5/7 = 68/7
( x - 1/2 ) : 1/3 = 68/7 - 5/7
( x - 1/2 ) : 1/3 = 63/7
( x - 1/2 ) = 63/7 . 1/3
x -1/2 = 3
x = 3 + 1/2
x = 7/2
1:
a: =7/5(40+1/4-25-1/4)-1/2021
=21-1/2021=42440/2021
b: =5/9*9-1*16/25=5-16/25=109/25
\(70:\frac{4x+720}{x}=\frac{1}{2}\)
\(\frac{4x+720}{x}=70:\frac{1}{2}\)
\(\frac{4x+720}{x}=140\)
\(4x+720=140x\)
\(4x-140x=-720\)
\(-136x=-720\)
\(x=\frac{-720}{-136}\)
\(x=\frac{90}{17}\)
\(\frac{70x}{4x+720}=\frac{1}{2}\)
\(140x=4x+720\)
\(136x=720\)
\(x=720:136\)
\(x=\frac{90}{17}\)
a, ( 0,25 -30% . x ) 1/7 1/4 =5 trên 1/6
(0,25-0,3.x).1/7.1/4=31/6
(0,25-0,3.x).1/7 =31/6 chia 1/4
(0,25-0,3.x).1/7 =62/3
(0,25-0,3.x) =62/3 chia 1/7
0,25-0,3.x =434/3
0,3.x = 0,25+434/3
0,3.x =1739/12
x =1739/12 chia 0,3
x =8695/18