(42 x 43 + 43 x 57 + 43) - 360 : 4

=(42 x 43 +43 x 57 + 43 x 1) - 360 : 4

= 43 x (42 + 57 + 1) - 360 :4

=43  x 100 - 360 : 4

=4300 - 90

=4210

b 456 : 2 x 18 + 456 :3 -102

=456 x (18:2) + 456 :3 -102

=456 x 9 + 456 : 3 - 102

=5154 +102 - 102 

=5154+0 

=5154

bai 2 :

gọi số cần tìm là ab

ta có : 5ab =26ab

500 +ab =26ab

25ab =500ab

ab=500:25

ab =20

\(VT=\frac{\left(43+17\right)\left(43^2-43.17+17^2\right)}{\left(43+26\right)\left(43^2-43.26+26^2\right)}=\frac{\left(43+17\right)\left[43^2-17\left(43-17\right)\right]}{\left(43+26\right)\left[43^2-26\left(43-26\right)\right]}.\)

\(VT=\frac{\left(43+17\right)\left(43^2-17.26\right)}{\left(43+26\right)\left(43^2-26.17\right)}=\frac{43+17}{43+26}=VP\left(dpcm\right)\)

1/ \(2.\left(-2\right)^3+5.\left(-6\right)-\left(-26\right)\)

\(=2.8+\left(-30\right)-\left(-26\right)\)

\(=16+\left(-30\right)-\left(-26\right)\)

\(=-14-\left(-26\right)\)

\(=12\)

2/ \(\left(-12\right)+\left(17-x\right)=6\)

\(17-x=6-\left(-12\right)\)

\(17-x=18\)

\(x=17-18=-1\)

3/ \(\left(x-1\right)^2=4\)

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

\(\Rightarrow x-1=2\)

\(\Rightarrow x=3\)

Chúc bạn học tốt nha

2.(-2)^3+5.(-6)-(-26)=2.(-8)+5.(-6)-(-26)=(-16)+(-30)-(-26)=-20

-12+(17-x)=6

         17-x=6-(-12)

         17-x=18

              x=17-18

              x=-1

(x-1)^2=4

 =>x-1=2

        x=2+1

        x=3

57.(43-14)-43.(57+14)=57.29-43.71=1653-3053=-1400

\(\frac{43^3+17^3}{43^3+26^3}=\frac{\left(43+17\right)\left(43^2-43×17+17^2\right)}{\left(43+26\right)\left(43^2-43×26+26^2\right)}=\frac{\left(43+17\right)×1407}{\left(43+26\right)×1407}=\frac{43+17}{43+26}\left(dpcm\right)\)

1: ĐKXĐ: x<>0

\(\sqrt{x^2+x+2} + \frac{1}{x} = \frac{13-7x}{2}\)

\(\Leftrightarrow \sqrt{x^2+x+2} = \frac{13}{2} - \frac{7x}{2} - \frac{1}{x} = \frac{13x - 7x^2 - 2}{2x}\)

=>\(\left(\sqrt{x^2+x+2} - 2\right) + \left(\frac{1}{x} - 1\right) + \frac{7x - 7}{2} = 0\)

=>\(\frac{x^2+x-2}{\sqrt{x^2+x+2} + 2}+\frac{1-x}{x}+\frac{7(x-1)}{2}=0\)

=>\((x-1)\left[\frac{x+2}{\sqrt{x^2+x+2} + 2}-\frac{1}{x}+\frac{7}{2}\right]=0\)

=>x-1=0

=>x=1(nhận)

7: ĐKXĐ: \(16-x^2>0\)

=>\(x^2<16\)

=>-4<x<4

\(\frac{x^3}{\sqrt{16-x^2}} + x^2 - 16 = 0\)

\(\Leftrightarrow \frac{x^3}{\sqrt{16-x^2}} - \left(\sqrt{16-x^2}\right)^2 = 0\)

\(\Leftrightarrow x^3 - \left(\sqrt{16-x^2}\right)^3 = 0\)

\(\Leftrightarrow x^3 = \left(\sqrt{16-x^2}\right)^3\)

\(\Leftrightarrow x = \sqrt{16-x^2} \quad (x > 0)\)

\(\Leftrightarrow x^2 = 16 - x^2\) và x>0

=>\(2x^2=16\) và x>0

=>\(x^2=8\) và 0<x<4

=>\(x=2\sqrt2\)

Bài 6:

\(21,251+6,058+0,749+1,042\)

\(=\left(21,251+0,749\right)+\left(6,058+1,042\right)\)

\(=22+7,1\)

\(=29,1\)

___________________

\(1,53+5,309+12,47+5,691\)

\(=\left(1,53+12,47\right)+\left(5,309+5,691\right)\)

\(=14+11\)

\(=25\)

5:

a: =>x/17=5/17

=>x=5

b; =>6+x=7/11*33=21

=>x=15

c: \(\dfrac{12+x}{43-x}=\dfrac{2}{3}\)

=>3x+36=86-2x

=>5x=50

=>x=10

d: \(\dfrac{x}{5}< \dfrac{3}{7}\)

=>x<3/7*5

=>x<15/7

f: 15/26+x/16=46/52

=>x/16=23/26-15/26=8/26=4/13

=>x=4/13*16=64/13

45 phút 43 giây x 2 - 18 phút 26 giây

= 91 phút 26 giây - 18 phút 26 giây 

= 73 phút

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25 x 43 x 6 < 43 x 6 x 26