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c: =>2/3x=1/10+1/2=1/10+5/10=6/10=3/5
hay \(x=\dfrac{3}{5}:\dfrac{2}{3}=\dfrac{9}{10}\)
d: \(\Leftrightarrow\dfrac{4}{9}:x=\dfrac{2}{3}-\dfrac{3}{5}=\dfrac{1}{15}\)
hay \(x=\dfrac{4}{9}:\dfrac{1}{15}=\dfrac{4}{9}\cdot15=\dfrac{20}{3}\)
f: (x+1/2)(2/3-2x)=0
=>x+1/2=0 hoặc 2/3-2x=0
=>x=-1/2 hoặc x=1/3
T = 5.5 + 6.6 + .... + 30.30
T = 5.(6 - 1) + 6.(7-1) + ... + 30.(31 - 1)
T = 5.6 - 5 + 6.7 - 6 + ... + 30.31 - 30
T = (5.6 + 6.7 + ... + 30.31) - (5 + 6 + ... + 30)
Đặt A = 5.6+ 6.7 + ... + 30.31
B = 5 + 6 + ... + 30
Ta có :
3A = 5.6.3 + 6.7.3 + ... + 30.31 . 3
3A = 5.6.(7-4) + 6.7.(8-5) + ... + 30.31.(32-29)
3A = 5.6.7 - 4.5.6 + 6.7.8 - 5.6.7 + ... + 30.31.32 - 29.30.31
3A = (5.6.7 + 6.7.8 + ... + 30.31.32) - (4.5.6 + 5.6.7 + ... + 29.30.31)
3A = 30.31.32 - 4.5.6
3A = 29640
A = 29640 : 3
A = 9880
SSH của B là : (30 - 5) : 1 + 1 = 26 (số hạng)
Tổng B là : (30 + 5) . 26 : 2 =455
=> T = A - B = 9880 - 455 = 9425
c, S = 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561
S = (3 + 2187) + (9 + 6561) + (27 + 243) + (81 + 729) + 1
S = 2190 + 6570 + 270 + 810 + 1
S = (2190 + 810) + 6570 + 270 + 1
S = 3000 + 6570 + 270 + 1
S = 9570 + 270 + 1
S = 9840 + 1
S = 9841
Vậy S = 9841
a) 17x + 33x = 100
<=> 50x = 100
<=> x = 2
Vậy x = 2
b) 23x + 15 ( x + 7) = 105
<=> 23x + 15x + 105 = 105
<=> 38x = 0
<=> x = 0
Vậy x = 0
c) 32 (x - 11) + 4x = 152
<=> 32x - 352 + 4x = 152
<=> 36x = 504
<=> x = 14
Vậy x = 14
d) 51 ( 3x + 5) - 406 = 22 (3x +50)
<=> 153x + 255 - 406 = 66x + 1100
<=> 87x = 1251
<=> x = \(\frac{1251}{87}\)
Vậy x = \(\frac{1251}{87}\)
Học tốt nhá :))
Bài làm :
\(a,17x+33x=100\)
\(\left(17+33\right)x=100\)
\(50x=100\)
\(x=2\)
\(b,23x+15\left(x+7\right)=105\)
\(23x+15x+105=105\)
\(38x=0\)
\(x=0\)
\(c,32\left(x-11\right)+4x=152\)
\(32x-352+4x=152\)
\(36x=504\)
\(x=14\)
\(d,51\left(3x+5\right)-406=22\left(3x+50\right)\)
\(153x+255-406=66x+1100\)
\(153x-66x=1100+406-255\)
\(87x=1251\)
\(x=\frac{1251}{87}\)
Học tốt
a,\(15-\left(-4-x\right)=6\)
\(\Leftrightarrow-4-x=15-6\)
\(\Leftrightarrow-4-x=9\)
\(\Leftrightarrow x=-4-9\)
\(\Leftrightarrow x=-13\)
b,\(-30+\left(25-x\right)=-1\)
\(\Leftrightarrow25-x=-1-\left(-30\right)\)
\(\Leftrightarrow25-x=29\)
\(\Leftrightarrow x=25-29=-4\)
c,\(x-\left(12-25\right)=-8\)
\(\Leftrightarrow x+13=-8\)
\(\Leftrightarrow x=-21\)
e,\(x-5=1\Rightarrow x=6\)
g,\(x+30=-4\)
\(\Leftrightarrow x=-4-30\)
\(\Leftrightarrow x=-34\)
h,\(x-\left(-24\right)=3\)
\(\Leftrightarrow x+24=3\)
\(\Leftrightarrow x=3-24\)
\(\Leftrightarrow x=-21\)
i,\(\left(x+5\right)+\left(x-9\right)=x+2\)
\(\Leftrightarrow x+5+x-9-x-2=0\)
\(\Leftrightarrow x-6=0\)
\(\Leftrightarrow x=6\)
k,\(\left(27-x\right)+\left(15+x\right)=x-24\)
\(\Leftrightarrow27-x+15+x-x+24=0\)
\(\Leftrightarrow-x+66=0\)
\(\Leftrightarrow-x=-66\)
\(\Leftrightarrow x=66\)
a) 15-(-4-x)=6
15 + 4 + x = 6
19 + x = 6
x = 6 - 19
x = 6 + ( -19 )
x = -13
b) -30+( 25- x ) =-1
25- x = -1 - ( - 30 )
25- x = -1 + 30
25- x =29
x = 25 - 29
x = 25 + ( -29 )
x = -4
c) x- ( 12-25) =-8
x - ( - 13 ) = -8
x + 13 = -8
x = -8 - 13
x = -8 + ( -13 )
x = - 21
d) ( x-29 ) - (17- 38 ) = -9
( x-29) - (-21 ) = -9
x -29 = -9 + ( -21 )
x -29 = -30
x = -30 + 29
x = -1
e) x-5=1
x = 1 + 5
x = 6
g) x + 30 = -4
x = -4 - 30
x = -4 + ( -30 )
x = -34
h) x- ( -24 ) = 3
x = 3 + ( -24 )
x = -21
l) 22- ( - x ) = 12
-x = 22 - 12
-x = 10
x = -10
i) ( x + 5 ) + ( x - 9 ) = x + 2
x + 5 + x - 9 = x + 2
x + x + ( 5 - 9 ) = x + 2
x + x + ( -4 ) = x + 2
x + x = x + 2 - ( -4 )
x + x = x + 2 + 4
x + x =x + 6
=> x = 6
\(a.\left[\left(x+34\right)-50\right].2=56\\ \Leftrightarrow\left(x+34\right)-50=28\\ \Leftrightarrow x+34=78\\ \Rightarrow x=44\)
\(b.1045-\left[215-\left(3x-24\right)\right]=5\\ \Leftrightarrow215-\left(3x-24\right)=1040\\ \Leftrightarrow3x-24=-825\\ \Leftrightarrow3x=-801\\ \Rightarrow x=-267\)
\(c.\left[195-\left(15x-27\right)\right].39=4212\\ \Leftrightarrow195-\left(15x-27\right)=108\\ \Leftrightarrow15x-27=87\\ \Leftrightarrow15x=114\\ \Rightarrow x=7,6\)
a) [(x+34)] - 50] . 2 = 56
=x+34-50=56:2
=> x+34-50=28
->x=28+50-34
-> x=44
b,1045 - [ 215 - ( 3x - 24 )] = 5
1045-(215-3x+24)=5
1045-215+3x-24=5
1045-215-24-5=-3x
-> 801=-3x-> x=801:(-3)=-267
,c) [ 195 - ( 15x - 27)] . 39 = 4212
(195-15x+27).39=4212
(195-15x+27)=4212/39=108
195+27-108=15x
114=15x-> x=114/15=7,6
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