\(\text{#}HaimeeOkk\)

\(17 , 76 + x : 2 , 36 = 42 , 3\)

\(x : 2 , 36 = 24 , 54\)

\(x = 57 , 9144\)

\(18+x:2.36=42.3\)

\(x:2.36=42.3-18\)

\(x:2.36=24.3\)

\(x=24.3\times2.36\)

\(x=57.348\)

x=57,348

57,89*(5-1+6)

=57,89*10

=578,9

b 145,5-(15,2+42,3)

145,5-57,5

=88

57,89x5-57,89+57,89x6

=57,89x5-57,89x1+57,89x6

=(5-1+6)x57,89

=10x57,89

=578,9

145,5-15,2-42,3

=145,5-(15,2+42,3)

=145,5-57,5

=88

57,89(5-1+6)=578,9

145,5-15,2-42,3=88

1. Áp dụng TCDTSBN ta có:

$\frac{x-1}{3}=\frac{y-2}{4}=\frac{z+5}{6}=\frac{x-1+(y-2)-(z+5)}{3+4-6}$

$=\frac{x+y-z-8}{1}=\frac{8-8}{1}=0$

$\Rightarrow x-1=y-2=z+5=0$

$\Rightarrow x=1; y=2; z=-5$

2.

Có:

$\frac{x+1}{2}=\frac{y+3}{4}=\frac{z+5}{6}=\frac{2x+2}{4}=\frac{3y+9}{12}=\frac{4z+20}{24}$

Áp dụng tính chất dãy tỉ số bằng nhau ta có:

$\frac{x+1}{2}=\frac{y+3}{4}=\frac{z+5}{6}=\frac{2x+2}{4}=\frac{3y+9}{12}=\frac{4z+20}{24}=\frac{2x+2+3y+9+4z+20}{4+12+24}=\frac{2x+3y+4z+31}{40}=\frac{9+31}{40}=1$

Suy ra:

$x+1=2.1=2\Rightarrow x=1$

$y+3=1.4=4\Rightarrow y=1$

$z+5=6.1=6\Rightarrow z=1$

$

3.

Có:

$\frac{x+1}{3}=\frac{y+2}{-4}=\frac{z-3}{5}=\frac{3x+3}{9}=\frac{2y+4}{-8}=\frac{4z-12}{20}$

Áp dụng TCDTSBN:

$\frac{x+1}{3}=\frac{y+2}{-4}=\frac{z-3}{5}=\frac{3x+3}{9}=\frac{2y+4}{-8}=\frac{4z-12}{20}=\frac{3x+3+2y+4+4z-12}{9+(-8)+20}=\frac{3x+2y+4z-5}{21}=\frac{47-5}{21}=2$

Suy ra:

$x+1=3.2=6\Rightarrow x=5$

$y+2=(-4).2=-8\Rightarrow y=-10$

$z-3=5.2=10\Rightarrow z=13$

Bài 1: 

a: x+1/2=5/6

nên x=5/6-1/2=1/3

b: x+1/4=3/4

nên x=3/4-1/4=2/4=1/2

c: x+3/10=1/2

nên x=1/2-3/10=5/10-3/10=1/5

d: x+1/4=3/8

nên x=3/8-1/4=3/8-2/8=1/8

TOT LAM

2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)

3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)

4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)

5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)

6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)

a,=0,9:(4/5.1,25+1:1/3)
=0,9:(1+3)

=0,9:4

=0,225

b,=9,6:6-0,6

=1,6-0,6

=1

c,=7/2.11/4-7/2.5/4

=7/2.(11/4-5/4)

=7/2.3/2

=21/4

1) (-1)³ + (-2)³ + (-3)³ - |x+5| = (5 - 6 -7)³

     (-1) -8 - 27 - |x+5| = -512

                         |x+5| = 476

=> x + 5 = 476 hoặc x + 5 = -476

     =>  x = 472           => x = -481

Vậy....

2) [(x-3)² - 9] . [(x-1)²-1]=0

    ( x - 3 - 3).(x - 3 + 3).(x - 1 - 1).(x - 1 +1) =0

    ( x - 6) . (x - 0) . (x - 2) . (x - 0) = 0

=> x - 6 = 0           hoặc        x - 0 = 0           hoặc x - 2 = 0

     => x = 6                            => x = 0                   => x = 2

Vậy...

3) 2.(x-23) - (x-43) = 96 - 115

     2x - 46 - x + 43 = -19

                           x = -16