a ) ĐK : \(x\ge0\)

Ta có : \(\left|x-2\right|=x-2\) hoặc \(\left|x-2\right|=2-x\)

TH1 : \(x-2=0\Rightarrow x=2\left(TM\right)\)

TH2 : \(2-x=0\Rightarrow x=2\left(TM\right)\)

Vậy \(x=2\)

b ) Vì \(\left|x-3,4\right|\ge0;\left|2,6-x\right|\ge0\)

\(\Rightarrow\left|x-3,4\right|+\left|2,6-x\right|\ge0\)

Để \(\left|x-3,4\right|+\left|2,6-x\right|=0\) khi \(\left|x-3,4\right|=0;\left|2,6-x\right|=0\)

\(\Rightarrow x=3,4;x=2,6\) \(\Rightarrow x=\varphi\)

a. Câu a có thể x=1 nữa.

b, \(\hept{\begin{cases}x=3,6\\x=2,6\end{cases}}\)

a. \(\left|x-2\right|=x\)

\(\orbr{\begin{cases}x-2=x\\x-2=-x\end{cases}}\)

Từ đây chuyển vế đổi dấu kết quả cuối cùng là x=1.

Cố gắng lên nha bạn

c: =>x+5=-4

=>x=-9

d: =>2x-3=3 hoặc 2x-3=-3

=>2x=6 hoặc 2x=0

=>x=3 hoặc x=0

a: =>2x-1=-2

=>2x=-1

hay x=-1/2

b: \(\Leftrightarrow\left[{}\begin{matrix}3x+2=0\\-\dfrac{2}{5}x-7=0\end{matrix}\right.\Leftrightarrow x\in\left\{-\dfrac{2}{3};-\dfrac{35}{2}\right\}\)

c: x/8=9/4

nên x/8=18/8

hay x=18

d: \(\Leftrightarrow\left(x-3\right)^2=36\)

=>x-3=6 hoặc x-3=-6

=>x=9 hoặc x=-3

e: =>-1,7x=6,12

hay x=-3,6

h: =>x-3,4=27,6

hay x=31

a) \(\dfrac{1}{3}\div\left(2x-1\right)=\dfrac{-1}{6}\)

\(\left(2x-1\right).\dfrac{1}{3}\div\left(2x-1\right)=\left(2x-1\right)\left(-\dfrac{1}{6}\right)\)

\(\dfrac{1}{3}=\left(2x-1\right)\left(-\dfrac{1}{6}\right)\)

\(\dfrac{1}{3}=-1\left(2x-1\right)\div6\)

\(\dfrac{1}{3}=-2x+1\div6\)

\(x=-\dfrac{1}{2}\)

b) \(\left(3x+2\right)\left(\dfrac{-2}{5}x-7\right)=0\)

\(TH1:3x+2=0\)

\(3x=0-2\)

\(3x=-2\)

\(x=\dfrac{-2}{3}\)

\(TH2:\left(-\dfrac{2}{5}x-7\right)=0\)

\(\left(\dfrac{-2}{5}x-7\right)=0\)

\(\left(\dfrac{-2x}{5}+\dfrac{5\left(-7\right)}{5}\right)=0\)

\(\left(\dfrac{-2x-35}{5}\right)=0\)

\(-2x-35=0\)

\(-2x=0+35\)

\(x=-\dfrac{35}{2}\)

c) \(\dfrac{x}{8}=\dfrac{9}{4}\)

\(\Leftrightarrow x=\dfrac{9.8}{4}=\dfrac{72}{4}=18\)

\(x=18\)

d) \(\dfrac{x-3}{2}=\dfrac{18}{x-3}\)

\(x-3=18+2\)

\(x=20-3\)

\(x=17\)

e) \(4,5x-6,2x=6,12\)

\(\dfrac{9x}{2}-6,2.x=6,12\)

\(\dfrac{9x}{2}+\dfrac{-31x}{5}=6,12\)

\(\dfrac{5.9x}{10}+\dfrac{2\left(-31\right)x}{10}=6.12\)

\(\dfrac{45x-62x}{10}=6.12\)

\(=-17x\div10=6.12\)

\(-17x=10.6.12\)

\(x=-3,6\)

h) \(11,4-\left(x-3,4\right)=-16,2\)

\(x-3,4=-16,2+11,4\)

\(x-3,4=-4,8\)

\(x=-1,4\)

Xin lỗi Nguyễn Huy Tú

Tớ sửa lại rồi nè

Help me

Câu 2: 

\(2^{24}=8^8< 9^8=3^{16}\)

Câu 2: 

c: =>x+5=-4

=>x=-9

d: =>2x-3=3 hoặc 2x-3=-3

=>2x=6 hoặc 2x=0

=>x=0 hoặc x=3

a/ \(x=\dfrac{-5}{12}\)

b/ \(x\approx-1,9526\)

c/ \(x=\dfrac{21-i\sqrt{199}}{10}\)

d/ \(x=\dfrac{-20}{13}\)

a) (x-2)³+6(x+1)²-x³+12=0

⇒ x³-6x²+12x-8+6(x²+2x+1)-x³+12=0

⇒ x³-6x²+12x-8+6x²+12x+6-x³+12=0

⇒ 24x+10=0

⇒ 24x=-10

⇒ x=-5/12

a.

PT \(\Leftrightarrow x^3-6x^2+12x-8+6(x^2+2x+1)-x^3+12=0\)

\(\Leftrightarrow x^3-6x^2+12x-8+6x^2+12x+6-x^3+12=0\)

\(\Leftrightarrow 24x+10=0\Leftrightarrow x=\frac{-5}{12}\)

b. Bạn xem lại đề, nghiệm khá xấu không phù hợp với mức độ tổng thể của bài.

c.

PT $\Leftrightarrow (4x^2+12x+9)+(x^2-1)=5(x^2+4x+4)+(x^2-4x-5)+9(x^2+6x+9)$
$\Leftrightarrow 10x^2+42x+64=0$

$\Leftrightarrow x^2+(3x+7)^2=-15< 0$ (vô lý) 

Do đó pt vô nghiệm.

d.

PT $\Leftrightarrow (1-6x+9x^2)-(9x^2-17x-2)=(9x^2-16)-9(x^2+6x+9)$

$\Leftrightarrow 11x+3=-54x-97$

$\Leftrightarrow 65x=-100$

$\Leftrightarrow x=\frac{-20}{13}$

a) \(\Rightarrow\dfrac{1}{3}x\left(x-2\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)

b) \(\Rightarrow\left(x+5\right)\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=-5\\x=1\end{matrix}\right.\)

c) \(\Rightarrow x\left(x^2-\dfrac{1}{9}\right)=0\Rightarrow x\left(x-\dfrac{1}{3}\right)\left(x+\dfrac{1}{3}\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\\x=-\dfrac{1}{3}\end{matrix}\right.\)

e) \(\Rightarrow\left(x+2\right)\left(x+2-x+2\right)=0\Rightarrow\left(x+2\right).4=0\Rightarrow x=-2\)

f) \(\Rightarrow x\left(2x-3\right)+2\left(2x-3\right)=0\Rightarrow\left(2x-3\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)

g) \(\Rightarrow2\left(3x-2\right)^2-\left(3x-2\right)\left(3x+2\right)=0\Rightarrow\left(3x-2\right)\left(3x-6\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=2\end{matrix}\right.\)

h) \(\Rightarrow x\left(x+1\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=-2\end{matrix}\right.\)

i) \(\Rightarrow4x\left(x+1\right)+5\left(x+1\right)=0\Rightarrow\left(x+1\right)\left(4x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{5}{4}\end{matrix}\right.\)

b,  \(\Leftrightarrow x\left(x-3\right)+\left(x+1\right)\left(x-3\right)=0\)

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

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

     \(\Leftrightarrow\left[\begin{array}{nghiempt}x-3=0\\2x+1=0\end{array}\right.\) 

     \(\Leftrightarrow\left[\begin{array}{nghiempt}x=3\\2x=-1\end{array}\right.\)

     \(\Leftrightarrow\left[\begin{array}{nghiempt}x=3\\x=\frac{-1}{2}\end{array}\right.\)

a)  |x-y|+|x-9|=0

    =>   

b)    |x²-3x|+|(x+1).(x-3)|=0

    xét    x²-3x|=0

           => x²-3x=0

                x(x-3)=0

              =>x=0 hoặc x-3=0

                                => x=3

            |(x+1)(x-3)|=0

     => (x+1)(x-3)=0

th1  x=0

   (0+1).(0-3)=0

   -1.(-3)=0(loại)

th2 x=3

     (3+1)(3-3)=0

     4.0=0 (lấy)

     => x=0