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\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{10}\right)\)
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.......\frac{9}{10}=\frac{1.2.3......9}{2.3.4.....10}=\frac{1}{10}\)
2) \(\left(x-5\right)\left(x^2+1\right)=0\)
\(\Rightarrow x-5=0\) vì \(x^2+1>0\)
\(\Rightarrow x=5\)
cAU 1 TƯƠNG TỰ NHÉ
Tương tự sao được
a/ \(30.\left\{x+2+6\left(x-5\right)\right\}-24x=102\)
\(\Leftrightarrow30.\left\{x+2+6x-30\right\}-24x=102\)
\(\Leftrightarrow30.\left\{7x-28\right\}-24x=102\)
\(\Leftrightarrow210x-340-24x=102\)
\(\Leftrightarrow186x-340=102\)
\(\Leftrightarrow186x=442\)
\(\Leftrightarrow x=\frac{442}{186}\)
c/ \(\left(x+1\right)+\left(x+2\right)+....+\left(x+99\right)=0\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+......+99\right)=0\)
\(\Leftrightarrow99x+49500=0\)
\(\Leftrightarrow x=-50\)
1) 5.( x - 6 ) - 2.( x + 9 ) = 21
5x - 30 - 2x - 18 = 21
3x - 48 = 21
3x = 21 + 48
3x = 69
x = 23
2) 2.( x + 3 ) + 3.( x + 1 ) = 15 - ( - 9 )
2x + 6 + 3x + 3 = 24
5x + 9 = 24
5x = 24 - 9
5x = 15
x = 3
3) ( - x + 5 ).(3 - x ) = 0
=> - x + 5 = 0 hoặc 3 - x = 0
=> x = 5 hoặc x = 3
4) ( x - 12 ) - 15 = ( 20 - 7 ) - ( 18 + x )
x - 12 - 15 = 13 - 18 - x
x - 27 = - 5 - x
x + x = - 5 + 27
2x = 22
x = 11
5) x - ( 17 - 8 ) = 5 + ( 10 - 3x )
x - 9 = 5 + 10 - 3x
x + 3x = 15 + 9
4x = 24
x = 6
5 . x2 - 3 . x2 = 32
x2 . ( 5 - 3 ) = 32
x2 : 2 = 32
x2 = 32 . 2
x2 = 64
x2 = 82
=> x = 8
k mình nha đúng đó !
(x+3)3:3-1=-10
(x+3)3:3=1-10
(x+3)3:3=-9
(x+3)3=(-9).3
(x+3)3=-27
(x+3)3=33
x+3=3
x=3-3
x=0
Ta có : ( x + 3 ) 3 : 3 - 1 = -10
<=> ( x + 3 ) 3 : 3 = ( -10 ) + 1
<=> ( x + 3 ) 3 : 3 = ( -9)
<=> ( x + 3 )3 =(- 9 ) . 3
<=> ( x + 3 )3 = (-27 )
<=> x + 3 = (-3)
<=> x = ( - 3) - 3
<=> x = -6
Vậy x = -6
( 15 - x ) + ( x - 12 ) = ( -5 + x )
( 15 - 12 ) - x + x = -5 + x
3 = -5 + x
x = 3 + 5
x = 8
(x+1)+(x+3)+(x+5)+...+(x+99)=0
( x + x + x + .... + x ) + ( 1 + 3 + 5 + ... + 99 ) = 0
50x + 2500 = 0
50x = -2500
x = -2500 : 50
x = -50
-1+3+(-5)+7+...+x=100
=2+2+...+2=100
2.50=100
Co 50 cap suy ra co 100 so
So thu 100(x) la 1+(100-1).2=......
ta có 10x+(1+2+3+...+10)=5
10x+55=5
10x=-50
x=-5
thank you nha