Giúp mình với hiccc

\(\dfrac{7}{2}+\dfrac{2}{25}=\dfrac{7\times25}{2\times25}+\dfrac{2\times2}{25\times2}=\dfrac{175}{50}+\dfrac{4}{50}=\dfrac{179}{50}\)

\(\dfrac{23}{5}-\dfrac{11}{3}=\dfrac{23\times3}{5\times3}-\dfrac{11\times5}{3\times5}=\dfrac{69}{15}-\dfrac{55}{15}=\dfrac{14}{15}\)

\(\dfrac{3}{7}-\dfrac{1}{14}=\dfrac{3\times2}{7\times2}-\dfrac{1}{14}=\dfrac{6}{14}-\dfrac{1}{14}=\dfrac{5}{14}\)

\(\dfrac{8}{5}:\dfrac{1}{3}=\dfrac{8}{5}\times3=\dfrac{8\times3}{5}=\dfrac{24}{5}\)

\(2:\dfrac{5}{3}=2\times\dfrac{3}{5}=\dfrac{2\times3}{5}=\dfrac{6}{5}\)

\(\dfrac{4}{5}\times\dfrac{7}{15}=\dfrac{4\times7}{5\times15}=\dfrac{28}{75}\)

Lời giải:

\(\frac{7}{2}+\frac{2}{25}=\frac{7\times 25+2\times 2}{2\times 25}=\frac{179}{50}\)

\(\frac{23}{5}-\frac{11}{3}=\frac{23\times 3-5\times 11}{5\times 3}=\frac{14}{15}\)

\(\frac{3}{7}-\frac{1}{14}=\frac{6}{14}-\frac{1}{14}=\frac{6-1}{14}=\frac{5}{14}\)

\(\frac{8}{5}: \frac{1}{3}=\frac{8}{5}\times 3=\frac{24}{5}\)

$2: \frac{5}{3}=\frac{2\times 3}{5}=\frac{6}{5}$

$\frac{4}{5}\times \frac{7}{15}=\frac{28}{75}$

BÀI 1: Tính

1) -(-10)-(+14)=10-14=-4

2) -(+15)-12=-15-12=-27

3) (-11)-(-13)=-11+13=2

4) -(-13)-(-10)=13+10=23

5) -4-(+7)=-4-7=-11

Bài 2 : tìm x:

a)x+(-5)=-(-7) 

           x=7+(-5)

           x=2

vậy x=2

b)x-8=-(+10)

x-8=10

   x=10+8

  x=18

vậy x=18

c)x-(-12)=14

x+12=14

      x=14-12

      x=2

vậy x=2

d)x-(+3)=-17

x-3=17

   x=17+3

   x=20

vậy x=20

e)x+20=-(-23)

x+20=23

      x=23-20

      x=3

vậy x=3

BÀI 3:tính

a)17-(-9)-(+25)

=17+9-25

=26-25

=1

b)-[-13]-15+(-20)

=13-15-20

=-2-20

=-22

c)-17-(-16)-23

=-17+16-23

=-1-23

=-24

d)-(-25)-(-14)+(-17)

=25+14-17

=39-17

=22

cảm ơn bạn rất nhiều chúc bạn và gia đình mạnh khỏe, vui vẻ bên nhau và cùng đón 1 cái TẾT vui vẻ!

HAPPY NEW YEAR

haha ối giời ơi

c) x²+1=0

x² =0+1

x² =1

x² =1²

=》x=1 hoặc x=-1

b) \(x^2-3=0\)

\(\Rightarrow x^2-\left(\sqrt{3}\right)^2=0\)

\(\Rightarrow\left(x-\sqrt{3}\right).\left(x+\sqrt{3}\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x-\sqrt{3}=0\\x+\sqrt{3}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0+\sqrt{3}\\x=0-\sqrt{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\sqrt{3}\\x=-\sqrt{3}\end{matrix}\right.\)

Vậy \(x\in\left\{\sqrt{3};-\sqrt{3}\right\}.\)

c) \(x^2+1=0\)

\(\Rightarrow x^2=0-1\)

\(\Rightarrow x^2=-1\)

Vì \(x^2\ge0\) \(\forall x.\)

\(\Rightarrow x^2>-1\)

\(\Rightarrow x^2\ne-1.\)

Vậy không tồn tại giá trị nào của \(x\) thỏa mãn yêu cầu đề bài.

Chúc bạn học tốt!

Ta có: \(4.\left(5-x\right)-3.\left(1-x\right)=-3^2\)

\(\Leftrightarrow20-4x-3+3x=9\)

\(\Leftrightarrow-4x+3x=9-20+3\)

\(\Leftrightarrow-x=-8\)

\(\Leftrightarrow x=8\)

Vậy: \(x=8\)

Ta có: \(3.\left|2x-3\right|=7-\left(-14\right)\)

\(\Leftrightarrow3.\left|2x-3\right|=7+14=21\)

\(\Leftrightarrow\left|2x-3\right|=\dfrac{21}{3}=7\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-3=7\\2x-3=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=10\\2x=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-2\end{matrix}\right.\)

Vậy: \(x=-2;5\)

Ta có: \(2^{2x-1}-3^2=23\)

\(\Leftrightarrow2^{2x-1}-9=23\)

\(\Leftrightarrow2^{2x-1}=32\)

\(\Leftrightarrow2^{2x-1}=2^5\)

\(\Leftrightarrow2x-1=5\)

\(\Leftrightarrow2x=6\)

\(\Leftrightarrow x=3\)

Vậy: \(x=3\)

_Chúc bạn học tốt_

Bai 2 : 

\(\hept{\begin{cases}x+y=7\\x-7=13\end{cases}\Leftrightarrow\hept{\begin{cases}x+y=7\\x=20\end{cases}}}\)

Thay x vào phương trình đầu ta có : 

\(20+y=7\Leftrightarrow y=-13\)

Vậy \(\left\{x;y\right\}=\left\{20;-13\right\}\)

Thử \(20-13=7\); \(20-7=13\)( thỏa mãn ) 

1 x 2 x 3 = 2x 3 + 1 = 7

2 x 3 x4 = 3 x 4 +2 = 14

3 x 4 x 5 = 4x 5 + 3 =23

4x5x6=5x6+4=34

k nha tớ k bn rồi

quy luật như sau :

1x2x3=2x3+1=7

2x3x4=3x4+2=14

3x4x5=4x5+3=23

4x5x6=5x6+4=34

1+2x3=7

2+3x4=14

3+4x5=23

=>4x5x6=34

ai giúp mik ik T_T

a, \(\dfrac{7}{8}\) \(\times\) \(\dfrac{3}{13}\) + \(\dfrac{4}{9}\) \(\times\) \(\dfrac{4}{13}\)

= \(\dfrac{1}{13}\) \(\times\)( \(\dfrac{21}{8}\) + \(\dfrac{16}{9}\))

= \(\dfrac{1}{13}\) \(\times\)( \(\dfrac{189}{72}\) + \(\dfrac{128}{72}\))

= \(\dfrac{1}{13}\) \(\times\)  \(\dfrac{317}{73}\)

= \(\dfrac{317}{949}\)

b, \(\dfrac{6}{5}\) + \(\dfrac{7}{3}\) + \(\dfrac{8}{9}\)

=   \(\dfrac{54}{45}\) + \(\dfrac{105}{45}\) + \(\dfrac{40}{45}\)

= \(\dfrac{199}{45}\)

c, 23 : \(\dfrac{5}{14}\) + \(\dfrac{6}{7}\) + \(\dfrac{4}{9}\)

=   \(\dfrac{322}{5}\) + \(\dfrac{6}{7}\) + \(\dfrac{4}{9}\)

= \(\dfrac{20286}{315}\) + \(\dfrac{270}{315}\) + \(\dfrac{140}{315}\)

= \(\dfrac{20696}{315}\)

d, 4\(\dfrac{1}{4}\) + 7\(\dfrac{3}{7}\) - 2\(\dfrac{4}{17}\)

= 4 + \(\dfrac{1}{4}\) + 7 + \(\dfrac{3}{7}\) - 2 - \(\dfrac{4}{17}\)

= (4+7-2) + (\(\dfrac{1}{4}\) + \(\dfrac{3}{7}\) - \(\dfrac{4}{17}\))

= 9 + \(\dfrac{119}{476}\) + \(\dfrac{204}{476}\) - \(\dfrac{112}{476}\)

= 9\(\dfrac{211}{476}\) = \(\dfrac{4495}{476}\)

e, 8 - (9\(\dfrac{2}{11}\) + \(\dfrac{8}{33}\))

= 8 - 9 - \(\dfrac{2}{11}\) - \(\dfrac{8}{33}\)

=  -1 - \(\dfrac{2}{11}\)  - \(\dfrac{8}{33}\)

= \(\dfrac{-33}{33}\) - \(\dfrac{-6}{33}\) -  \(\dfrac{8}{33}\)

= - \(\dfrac{47}{33}\)

a) 1+2+3+...+2018

=[(2018-1):1+1].(2018+1):2

=2018.2019:2

=2037171

b) 4+7+10+13+...+2017

=[(2017-4):3+1].(2017+4):2

=672.2021:2

=679056

c) 1+2-3-4+5+6-7-8+9+10-11-12+13+14

=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+13+14

=-4+(-4)+(-4)+13+14

=-12+27

=15

d) 23 x 75 + 25 x 23 + 180

=23 x (75+25) +180

=23 x 100 +180

=2300+180

2480

chúc ban hoc tốt nha

a) Số số hạng: ( 2018 - 1 ) : 1 + 1 = 2018

   Tổng:           2018 x ( 2018 + 1 ) : 2 = 2 037 171

b) Số số hạng: ( 2017 - 4 ) : 3 + 1 = 672

    Tổng: 672 x ( 2017 + 4 ) : 2 = 679 056

\(a,\Rightarrow x+35=103\\ \Rightarrow x=68\\ b,\Rightarrow x+7=42\\ \Rightarrow x=35\\ c,\Rightarrow x-15=9\\ \Rightarrow x=24\\ d,\Rightarrow x+23=31\\ \Rightarrow x=8\\ e,\Rightarrow18-x=6\\ \Rightarrow x=12\\ f,\Rightarrow x+14=34\\ \Rightarrow x=20\\ g,\Rightarrow2x+1=21\\ \Rightarrow x=11\\ h,\Rightarrow3\left(x+1\right)=99\\ \Rightarrow x+1=33\Rightarrow x=32\\ i,5\left(x-3\right)=25\\ \Rightarrow x-3=5\\ \Rightarrow x=8\\ j,\Rightarrow8\left(2x+7\right)=88\\ \Rightarrow2x+7=11\Rightarrow x=2\\ k,\Rightarrow5\left(x+4\right)=85\\ \Rightarrow x+4=17\\ \Rightarrow x=13\)