Em không hiểu anh viết gì hết.

khỏi hỉu

a) \(x.\left(x+2\right)=0\)

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

Vậy \(\left[{}\begin{matrix}x=0\\x=-2\end{matrix}\right.\)

b) \(\left(x-1\right)\left(x-2\right)=0\)

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

Vậy \(\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)

c) \(\left(x-2\right)\left(x^2+1\right)=0\)

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

Vậy \(x=2\)

d) \(\left(x+1\right)\left(x^2-4\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+1=0\\x^2-4=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=-1\\x=\pm2\end{matrix}\right.\)

Vậy \(\left[{}\begin{matrix}x=-1\\x=\pm2\end{matrix}\right.\)

A) x={0;-2}

B) x={1;2}

C) x=2

D) x={-2;-1;2}

vghgdhjg

-1/6 ;1/6 và 0

-1/3; 1/3 và0

-1/2; 1/2 và 0

\(\frac{-1}{6}+\frac{1}{6}+0=0\)

\(\frac{-1}{3}+\frac{1}{3}+0=0\)

\(\frac{-1}{2}+\frac{1}{2}+0=0\)

\(\left(3x-1\right)\left(\frac{-1}{2}x+5\right)=0\)

\(\orbr{\begin{cases}3x-1=0\\\frac{-1}{2}x+5=0\end{cases}}\)

\(\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)

\(\frac{1}{4}+\frac{1}{3}:(2x-1)=-5\)

\(\Rightarrow\frac{1}{3}:(2x-1)=-5-\frac{1}{4}\)

\(\Rightarrow\frac{1}{3}:(2x-1)=\frac{-21}{4}\)

\(\Rightarrow2x-1=\frac{1}{3}:-\frac{21}{4}\)

\(\Rightarrow2x-1=\frac{1}{3}\cdot-\frac{4}{21}\)

\(\Rightarrow2x-1=\frac{-4}{63}\)

\(\Rightarrow2x=-\frac{4}{63}+1\)

\(\Rightarrow2x=\frac{59}{63}\Leftrightarrow x=\frac{59}{126}\)

Nhấn vào "Đúng 0" lời giải sẽ hiện ra

a) Giải theo cách lớp 8

x^2 -1 +2 =0

x^2 +1 =0

x^2 = -1 (vô lý)

Suy ra vô nghiệm

Lớp 6:

(x-1)(x+1) = -2 = 1x(-2) 

Mà 1-(-2)=3

(x+1) - (x-1) =2

Suy ra vô nghiệm

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

Suy ra x+1 = 0 hay 3-x=0

Suy ra x = -1 hay x=3

c) (2-x)^4 = 3^4 hay 2-x = (-3)^4

suy ra 2-x=3 hay 2 - x = -3

x = -1 hay x = 5

d) x^2 + 1 = 0 hay 81-x^2 = 0

x^2 = -1 ( vô lý) nên

81 - x^2 =0

x^2=81

x = 9 hay x= -9

\(\left(x-1\right)\left(x+1\right)+2=0\Rightarrow x^2-1+2=0\) ( Lớp 6 chưa dùng căn thì vô nghiệm )

\(\Rightarrow x^2-1=-2\Rightarrow x^2=\left(-2\right)+1=-1\Leftrightarrow x=\sqrt{-1}\) 

\(\left(x+1\right)\left(3-x\right)=0\). Xét 2 trường hợp : \(x+1=0\) và \(3-x=0\)

Với \(x+1=0\Rightarrow x=0-1=-1\) còn \(3-x=0\Rightarrow x=0+3=3\)

\(\left(2-x\right)^4=81=3^4\Rightarrow2-x=3\Leftrightarrow x=2-3=-1\)

TH2 : Với \(\left(2-x\right)^4=\left(-3\right)^4\Rightarrow2-x=-3\Leftrightarrow x=2-\left(-3\right)=5\)

\(\left(x^2+1\right)\left(81-x^2\right)=0\) . Xét 2 trường hợp \(x^2+1=0\) và \(81-x^2=0\)

 Với \(x^2-1=0\Rightarrow x^2=0+1=1\Rightarrow x=\sqrt{1}\) ( Với lớp 6 thì vô nghiệm )

Với \(81-x^2=0\Rightarrow81=0+x^2=x^2=9^2;\left(-9\right)^2\Rightarrow x=9;-9\)

63/64

A= 1-1/2+1/2-1/4+1/4-1/8+...+1/32-1/64

A= 1-1/64

A= 63/64

VÂY A= 63/64

BÀi 1 

a.

Ta  có 

3n+2=3n-3+5

mà 3n+2 \(⋮\)n-1

=>3n-3+5 \(⋮\)  n-1

mà 3n-3 \(⋮\) n-1

=>5  \(⋮\)  n-1

=>n-1 \(\in\)Ư{5}=(1;5)

ta có

n-1=1=>n=2

n-1=5=>n=6

Vậy......

các phần b,c,d that số vào

a) \(2.\left|4-x\right|=\left|-8\right|\Leftrightarrow2.\left|4-x\right|=8\)

th1: \(4-x\ge0\Leftrightarrow x\le4\)

\(\Rightarrow2.\left|4-x\right|=8\Leftrightarrow2.\left(4-x\right)=8\Leftrightarrow8-2x=8\Leftrightarrow-2x=0\Leftrightarrow x=0\left(tmđk\right)\)

th2: \(4-x< 0\Leftrightarrow x>4\)

\(\Rightarrow2.\left|4-x\right|=8\Leftrightarrow2.\left(x-4\right)=8\Leftrightarrow2x-8=8\Leftrightarrow2x=16\Leftrightarrow x=8\left(tmđk\right)\)

vậy \(x=0;x=8\)

b) đề sai nha bn ; xữa đề : \(\left(x-1\right)^2=0\Leftrightarrow x-1=0\Leftrightarrow x=1\) vậy \(x=1\)

c) \(x\left(x-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\left\{{}\begin{matrix}x=0\\x=1\end{matrix}\right.\) vậy \(x=0;x=1\)

d) \(\left(x+1\right)\left(x-2\right)=0\Leftrightarrow\left\{{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)

vậy \(x=-1;x=2\)

a) \(2.\left|4-x\right|=\left|-8\right|\)

\(\Rightarrow2.\left|4-x\right|=8\)

\(\Rightarrow\left[{}\begin{matrix}2\left(4-x\right)=8\\2\left(x-4\right)=8\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}4-x=4\\x-4=4\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)

Vậy \(\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)

b) \(\left(x-1^2\right)=0\)

\(\Leftrightarrow x-1=0\)

\(\Leftrightarrow x=1\)

Vậy \(x=1\)

c) \(x\left(x-1\right)=0\)

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

Vậy \(\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

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

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

Vậy \(\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)