\(\dfrac{x+1}{x-1}+\dfrac{x-2}{x+2}+\dfrac{x-3}{x+3}+\dfrac{x+4}{x-4}=0\)

\(\Leftrightarrow\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x-4\right)+\left(x-2\right)\left(x-1\right)\left(x+3\right)\left(x-4\right)+\left(x-3\right)\left(x-1\right)\left(x+2\right)\left(x-4\right)+\left(x+4\right)\left(x-1\right)\left(x+2\right)\left(x+3\right)=0\)

\(\Leftrightarrow4x^4+20x-96=0\)

\(\Leftrightarrow4\left(x^4+5x-24\right)=0\)

\(\Leftrightarrow x^4+5x-24=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-2,45...\\x=1,94...\end{matrix}\right.\)

Vậy: \(S=\left\{-2,45...;1,94...\right\}\)

ai júp em gấp với ạ

Bạn tham khảo cách làm!

`(3x+2)*(x+4)-(3x-1)*(x-5)=0`

\(\Leftrightarrow3x\left(x+4\right)+2\left(x+4\right)-3x\left(x-5\right)+1\left(x-5\right)=0\)

\(\Leftrightarrow3x^2+3x\cdot4+2x+2\cdot4-3x^2+3x\cdot5+x-5=0\)

\(\Leftrightarrow3x^2+12x+2x+8-3x^2+15x+x-5=0\)

\(\Leftrightarrow\left(3x^2-3x^2\right)+\left(12x+2x+15x+x\right)+\left(8-5\right)=0\)

\(\Leftrightarrow30x+3=0\)

\(\Leftrightarrow30x=0-3\)

`=> 30x=-3`

`-> x=-3 \div 30`

`-> x=-1/10 `

Gửi bạn

`#3107.\text {DN}`

\(3^{x+2}+4\cdot3^{x+1}+3^{x-1}=6^6\)

`=> 3^x*3^2 + 4*3^x*3 + 3^x * 1/3 = 6^6`

`=>3^x*(3^2 + 12 + 1/3) = 6^6`

`=> 3^x * 64/3 = 6^6`

`=> 3^x = 6^6 \div 64/3`

`=> 3^x = 2187`

`=> 3^x = 3^7`

`=> x = 7`

Vậy, `x = 7.`

a) 24 : 6= 4           30 : 5= 6          15: 3=5         20 : 4= 5

b) 32 :5= 6 ?( dư 4) còn lại em tính đi nhé!!

a) 24 : 6= 4           30 : 5= 6          15: 3=5         20 : 4= 5

b) 32 :5= 6 ?( dư 4)

\(\frac{2}{7}+\frac{7}{12}=\frac{24}{84}+\frac{49}{84}=\frac{73}{84}\)

\(\frac{25}{48}+\frac{22}{48}=\frac{47}{48}\)

\(\frac{5}{7}+\frac{3}{8}=\frac{40}{56}+\frac{21}{56}=\frac{61}{56}\)

\(\frac{15}{24}+\frac{15}{16}=15.\left(\frac{1}{24}+\frac{1}{16}\right)=\frac{25}{16}\)

\(\frac{5}{6}+\frac{3}{4}=\frac{20+18}{24}=\frac{19}{12}\)

\(\frac{9}{24}+\frac{14}{24}=\frac{23}{24}\)

học tót tích mình hem

2/7 + 7/12 = 73/84.

25/48 + 11/24 = 47/48.

5/7 + 3/8 = 61/56.

15/24 + 15/16 = 25/16.

5/6 + 3/4 = 19/12.

3/8 + 7/12 = 23/24.

hok tốt!

\(\frac{2}{7}+\frac{7}{12}=\frac{24}{84}+\frac{49}{84}=\frac{73}{84}\)

\(\frac{25}{48}+\frac{11}{24}=\frac{25}{48}+\frac{22}{48}=\frac{47}{48}\)

\(\frac{5}{7}+\frac{3}{8}=\frac{40}{56}+\frac{21}{56}=\frac{61}{56}\)

\(\frac{5}{6}+\frac{3}{4}=\frac{20}{24}+\frac{18}{24}=\frac{38}{24}=\frac{19}{12}\)

\(\frac{3}{8}+\frac{7}{12}=\frac{36}{96}+\frac{56}{96}=\frac{92}{96}=\frac{23}{24}\)

Học tốt