Áp dụng t/c dãy tỉ số bằng nhau:

a.

\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{2x}{6}=\dfrac{4y}{20}=\dfrac{2x+4y}{6+20}=\dfrac{28}{26}=\dfrac{14}{13}\)

\(\Rightarrow\left\{{}\begin{matrix}x=3.\dfrac{14}{13}=\dfrac{52}{13}\\y=5.\dfrac{14}{13}=\dfrac{70}{13}\end{matrix}\right.\)

(Em có nhầm đề 26 thành 28 ko nhỉ, số xấu quá)

b.

\(4x=5y\Rightarrow\dfrac{x}{5}=\dfrac{y}{4}=\dfrac{3x}{15}=\dfrac{-2y}{-8}=\dfrac{3x-2y}{15-8}=\dfrac{35}{7}=5\)

\(\Rightarrow\left\{{}\begin{matrix}x=5.5=25\\y=4.2=20\end{matrix}\right.\)

c.

\(\dfrac{x}{-3}=\dfrac{y}{-7}=\dfrac{2x}{-6}=\dfrac{4y}{-28}=\dfrac{2x+4y}{-6-28}=\dfrac{68}{-34}=-2\)

\(\Rightarrow\left\{{}\begin{matrix}x=-3.\left(-2\right)=6\\y=-7.\left(-2\right)=14\end{matrix}\right.\)

d.

\(\dfrac{x}{2}=\dfrac{y}{-3}=\dfrac{z}{4}=\dfrac{4x}{8}=\dfrac{-3y}{9}=\dfrac{-2z}{-8}=\dfrac{4x-3y-2z}{8+9-8}=\dfrac{16}{9}\)

\(\Rightarrow\left\{{}\begin{matrix}x=2.\dfrac{16}{9}=\dfrac{32}{9}\\y=-3.\dfrac{16}{9}=-\dfrac{48}{9}\\z=4.\dfrac{16}{9}=\dfrac{64}{9}\end{matrix}\right.\)

a) (2x - 3)(x + 1) - (5 + x)(2x - 4) = 10

<=> 2x² + 2x - 3x - 3 - (10x - 20 + 2x² - 4x) = 10

<=> 2x² - x - 3 - (2x² + 6x - 20) = 10

<=> 2x² - x - 3 - 2x² - 6x + 20 = 10

<=> -7x = -7 

<=> x = 1

Vậy x = 1 là nghiệm phương trình 

b) (x - 3)(x + 3) - (x + 1)² = 5

<=> x² - 9 - (x² + 2x + 1) = 5

<=> x² - 9 - x² - 2x - 1 = 5

<=> -2x = 15 

<=> x = -7,5

Vậy x = - 7,5 là nghiệm phương trình 

a) \(2\left|x\right|-5=3\)

=> \(2\left|x\right|=3+5\)

=> \(2\left|x\right|=8\)

=> \(\left|x\right|=4\)

=> x = 4 hoặc x = -4

b) \(x-5=\left(-14\right)+2^3\)

=> \(x-5=\left(-14\right)+8\)

=> \(x-5=-6\)

=> \(x=-6+5=-1\)

c) \(10+2x=4^5:4^3\)

=> \(10+2x=4^{5-3}\)

=> \(10+2x=4^2\)

=> \(2x=4^2-10=16-10=6\)

=> \(2x=6\)

=> \(x=3\)

d) (x + 7) - 13 = 4

=> x + 7 = 17

=> x = 17 - 7 = 10

e) \(2x-10=2^4:2^2\)

=> \(2x-10=2^2\)

=> \(2x-10=4\)

=> \(2x=14\)

=> \(x=7\)

a: =>x^2-25-x^2-3x=10

=>-3x=35

=>x=-35/3

b: =>4x^2-9-4(x^2+4x+4)=5

=>4x^2-9-4x^2-16x-16-5=0

=>-16x-30=0

=>x=-15/8

c: =>9x^2+45x-9x^2+4=7

=>45x=3

=>x=1/15

d: =>x^3+3x^2+3x+1-x^3-3x^2+5x=8

=>8x=7

=>x=7/8

`#3107`

b)

`2.3^x = 162`

`\Rightarrow 3^x = 162 \div 2`

`\Rightarrow 3^x = 81`

`\Rightarrow 3^x = 3^4`

`\Rightarrow x = 4`

Vậy, `x = 4`

c)

`(2x - 15)^5 = (2 - 15)^3`

\(\Rightarrow \)`(2x - 15)^5 - (2x - 15)^3 = 0`

\(\Rightarrow \)`(2x - 15)^3 . [ (2x - 15)^2 - 1] = 0`

\(\Rightarrow\left[{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15\right)^2=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=15\\\left(2x-15\right)^2=\left(\pm1\right)^2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x-15=1\\2x-15=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x=16\\2x=-14\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=-7\end{matrix}\right.\)

Vậy, `x \in`\(\left\{-7;8;\dfrac{15}{2}\right\}.\)

`d)`

\(3^{x+2}-5.3^x=?\) Bạn ghi tiếp đề nhé!

`e)`

\(7\cdot4^{x-1}+4^{x-1}=23?\)

\(4^{x-1}\cdot\left(7+1\right)=23\\ \Rightarrow4^{x-1}\cdot8=23\\ \Rightarrow4^{x-1}=\dfrac{23}{8}\)

Bạn xem lại đề!

`f)`

\(2\cdot2^{2x}+4^3\cdot4^x=1056\)

\(\Rightarrow2\cdot2^{2x}+\left(2^2\right)^3\cdot\left(2^2\right)^x=1056\\ \Rightarrow2\cdot2^{2x}+2^6\cdot2^{2x}=1056\\ \Rightarrow2^{2x}\cdot\left(2+2^6\right)=1056\\ \Rightarrow2^{2x}\cdot66=1056\\ \Rightarrow2^{2x}=1056\div66\\ \Rightarrow2^{2x}=16\\ \Rightarrow2^{2x}=2^4\\ \Rightarrow2x=4\\ \Rightarrow x=2\)

Vậy, `x = 2`

_____

\(10 -{[(x \div 3+17) \div 10+3.2^4] \div 10}=5\)

\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=10-5\)

\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=5\)

\(\Rightarrow\left(x\div3+17\right)\div10+48=50\)

\(\Rightarrow\left(x\div3+17\right)\div10=2\)

\(\Rightarrow x\div3+17=20\)

\(\Rightarrow x\div3=3\\ \Rightarrow x=9\)

Vậy, `x = 9.`

\(b)\)\(x\div\left(-5\right)+10=-60\)

\(x\div\left(-5\right)=-60-10\)

\(x\div\left(-5\right)=-70\)

\(x=-70\times\left(-5\right)\)

\(x=350\)

\(a)\)\(3\div x-10=-12\)

\(3\div x=-12+10\)

\(3\div x=-2\)

\(x=3\div-2\)

\(x=-\frac{3}{2}=-1,5\)

\(\left(2-x\right)\div\left(-4\right)-5=-11\)

\(\left(2-x\right)\div\left(-9\right)=-11\)

\(\left(2-x\right)=-11\times\left(-9\right)\)

\(2-x=99\)

\(x=2-99\)

\(x=-97\)

tìm x

a.3:x-10=-12

  3:x      = -12+10

  3:x       = -2

     x       =  3:(-2)

      x       = -3/2

b.x:(-5)+10=-60

   x:(-5)      =-60-10

   x:(-5)      = -70

    x           = -70 x (-5)

    x            =  350

bạn biết làm câu c ko

câu d là 

d.(3-2x)^2=16