a,78 : 76+ 52. 1800
= 72 + 25. 1
= 49 + 26
= 75
1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15 * 16 * 17 * 18 * 19 * 20 * 21 * 22 * 23 * 24 * 25 * 26 * 27 * 28 * 29 * 30 * 31 * 32 * 33 * 34 * 35 * 36 * 37 * 38 * 39 * 40 * 41 * 42 * 43 * 44 * 45 * 46 * 47 * 48 * 49 * 50 * 51 * 52 * 53 * 54 * 55 * 56 * 57 * 58 * 59 * 60 * 61 * 62 * 63 * 64 * 65 * 66 * 67 * 68 * 69 * 70 * 71 * 72 * 73 * 74 * 75 * 76 * 77 * 78 * 79 * 80 * 81 * 82 * 83 * 84 * 85 * 86 * 87 * 88 * 89 * 90 * 91 * 92 * 93 * 94 * 95 * 96 * 97 * 98 * 99 * 100 bằng bao nhiêu?
giải phương trình sau
\(\dfrac{74-x}{26}+\dfrac{75-x}{25}+\dfrac{76-x}{24}+\dfrac{77-x}{23}+\dfrac{78-x}{22}=0\)
Sửa đề: \(\dfrac{74-x}{26}+\dfrac{75-x}{25}+\dfrac{76-x}{24}+\dfrac{77-x}{23}+\dfrac{78-x}{22}=-5\)Ta có: \(\dfrac{74-x}{26}+\dfrac{75-x}{25}+\dfrac{76-x}{24}+\dfrac{77-x}{23}+\dfrac{78-x}{22}=-5\)
\(\Leftrightarrow\dfrac{74-x}{26}+1+\dfrac{75-x}{25}+1+\dfrac{76-x}{24}+1+\dfrac{77-x}{23}+1+\dfrac{78-x}{22}+1=0\)
\(\Leftrightarrow\dfrac{100-x}{26}+\dfrac{100-x}{25}+\dfrac{100-x}{24}+\dfrac{100-x}{23}+\dfrac{100-x}{22}=0\)
\(\Leftrightarrow\left(100-x\right)\left(\dfrac{1}{26}+\dfrac{1}{25}+\dfrac{1}{24}+\dfrac{1}{23}+\dfrac{1}{22}\right)=0\)
mà \(\dfrac{1}{26}+\dfrac{1}{25}+\dfrac{1}{24}+\dfrac{1}{23}+\dfrac{1}{22}>0\)
nên 100-x=0
hay x=100
Vậy: S={100}
Ta có : \(\dfrac{74-x}{26}+\dfrac{75-x}{25}+\dfrac{76-x}{24}+\dfrac{77-x}{23}+\dfrac{78-x}{22}=-5\)
\(\Leftrightarrow\dfrac{74-x}{26}+\dfrac{75-x}{25}+\dfrac{76-x}{24}+\dfrac{77-x}{23}+\dfrac{78-x}{22}+5=0\)
\(\Leftrightarrow\dfrac{74-x}{26}+1+\dfrac{75-x}{25}+1+\dfrac{76-x}{24}+1+\dfrac{77-x}{23}+1+\dfrac{78-x}{22}+1=0\)
\(\Leftrightarrow\dfrac{100-x}{26}+\dfrac{100-x}{25}+\dfrac{100-x}{24}+\dfrac{100-x}{23}+\dfrac{100-x}{22}=0\)
\(\Leftrightarrow\left(100-x\right)\left(\dfrac{1}{26}+\dfrac{1}{25}+\dfrac{1}{24}+\dfrac{1}{23}+\dfrac{1}{22}\right)=0\)
Thấy : \(\dfrac{1}{26}+\dfrac{1}{25}+\dfrac{1}{24}+\dfrac{1}{23}+\dfrac{1}{22}\ne0\)
\(\Rightarrow100-x=0\)
\(\Leftrightarrow x=100\)
Vậy ...
Bài 1: Tính một cách hợp lí(tính nhanh)
a) (-25).5.(-4).2
b) (-456) - (67 - 456)
c) 78.45+145.(-78)
d) 38.( 62-75) + 62.(-75 - 38)
Bài 2: Tính hợp lí
a) 125.(-4).(-8).7
b) 35.67.137.(-35)
c) 72.( 28 - 49) + 28. _-49 - 72)
a) \(\left(-25\right).5.\left(-4\right).2\)
\(=\left[\left(-25\right).\left(-4\right)\right].\left(2.5\right)\)
\(=100.10=1000\)
b) \(\left(-456\right)-\left(67-456\right)\)
\(=-456-67+456\)
\(=\left(456-456\right)-67\)
\(=67\)
a) ((-25).(-4)).5.2
=100.10
=1000
b) (-456)-67+456
=(-456)+(-67)+456
=0+-(-67)
=-67
c)78.45+-145.78
=78.(45+145)
=78.190
=Tự làm
a) (-25).5.(-4).2
= 5 . ( -4 ) . ( -25 ) . 2
= -20 . ( - 50 )
= 100
b) (-456) - (67 - 456)
= -456 - 67 + 456
= -456 + 456 - 67
= -67
c) 78.45+145.(-78)
= 78 . 45 + ( - 145 ) . 78
= 78 . ( -145 + 45 )
= 78 . 100
= 7800
d) 38.( 62-75) + 62.(-75 - 38)
= 38 . 62 - 38 . 75 + 62 . ( - 75 ) - 62 . 38
= 38 . 62 - 62 . 38 + 38 . 75 + 62 . ( - 75 )
= 0 + 38 . 75 + ( - 62 ) . 75
= 75 . ( - 62 + 38 )
= 75 . ( - 24 )
= - 1800
a) 125.(-4).(-8).7
= 125 . ( - 8 ) . ( - 4 ) . 7
= 1000 . ( - 28 )
= - 28000
c) 72.( 28 - 49) + 28. ( -49 - 72)
= 72 . 28 - 72 . 49 + 28 . ( - 49 ) - 28 . 72
= 72 . 28 - 28 . 72 + 72 . 49 + 28 . ( - 49 )
= 0 + 72 . 49 + ( - 28 ) . 49
= 49 . ( -28 + 72 )
= 49 . 44
= 2156
Cho A=(135-35).(-47)+53.(-48-52) và B=25.(75 - 49) + 75. |25 - 49|. Chọn câu đúng
A. A và B đối nhau
B. A và B bằng nhau
C. A và B cùng dấu
D. A và B trái dấu
a)5+(-5) b)71-52 c)28+(-82) d)47+(-30) e)(-41)+(-59) f)75+(-10) t)26-43 y)90-25 o)72+(-9) p)(-3)+3
a) 5 + (-5) = 0
b) 71-52 = 19
c) 28 + (-82) = -64
d) 47 + (-30) = 17
e) (-41) + (-59) = -100
f) 75 + (-10) = 65
t) 26 - 43 = -17
y) 90 - 25 = 650
o) 72 + (-9) = 63
p) (-3) + 3 = 0
Bài 2: Tính hợp lí
a.1152-(374+1152)+(-65+374)
b.[53+(-76)]-[-76-(-53)]
c.-48+48.(-78)+21.(-48)
d.(-12).47(-12).52+(-12)
e.(-1)+(-3)+...(-199)+(-201)
f.17+(-20)+23+(-26)+...+53+(-56)
Mấy bạn giúp mình
\(\frac{74-x}{26}+\frac{75-x}{25}+\frac{76-x}{24}+\frac{77-x}{23}+\frac{78-x}{22}=-5\)
Tìm X
\(\frac{74-x}{26}+\frac{75-x}{25}+\frac{76-x}{24}+\frac{77-x}{23}+\frac{78-x}{22}=-5\)
\(\frac{74-x}{26}+1+\frac{75-x}{25}+1+\frac{76-x}{24}+1+\frac{77-x}{23}+1+\frac{78-x}{22}=-5+5\)
\(\frac{74-x}{26}+\frac{26}{26}+\frac{75-x}{25}+\frac{25}{25}+\frac{76-x}{24}+\frac{24}{24}+\frac{77-x}{23}+\frac{23}{23}+\frac{78-x}{22}+\frac{22}{22}=0\)
\(\frac{100-x}{26}+\frac{100-x}{25}+\frac{100-x}{24}+\frac{100-x}{23}+\frac{100-x}{22}=0\)
\(\left(100-x\right)\left(\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{23}+\frac{1}{22}\right)=0\)
=>100-x=0 ( \(\left(\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{23}+\frac{1}{22}\right)\ne0\))
x=100
hahaha
Cộng 1 vào mỗi hạng tử trong vế trái là dc
Tính nhanh
a) (2^78+2^79+2^80) : (2^77+2^76+2^75)
b) (5^56+5^7) : (5^49+1)
\(a;\frac{2^{78}+2^{79}+2^{80}}{2^{77}+2^{76}+2^{75}}=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(1+2+2^2\right)}=2^3=8\)
b) \(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^7\left(5^{49}+1\right)}{5^{49}+1}=5^7\)
21+22+23+24+25+...+75+76+77+78+79=?