`a, x^2-10x+25=0`

`<=>x^2 -2.x.5+5^2=0`

`<=>(x-5)^2=0`

`<=>x-5=0`

`<=>x=5`

__

`x^2 -8x+16=0`

`<=> x^2 - 2.x.4+4^2=0`

`<=>(x-4)^2=0`

`<=>x-4=0`

`<=>x=4`

__

`x^2-49=0`

`<=>x^2 - 7^2=0`

`<=>(x-7)(x+7)=0`

`<=>x-7=0` hoặc `x+7=0`

`<=> x=7` hoặc `x=-7`

__

`4x^2-25=0`

`<=> (2x)^2 -5^2=0`

`<=>(2x-5)(2x+5)=0`

`<=>2x-5=0` hoặc `2x+5=0`

`<=> 2x=5` hoặc `2x=-5`

`<=>x=5/2` hoặc `x=-5/2`

a: =>(x-5)^2=0

=>x-5=0

=>x=5

b: =>(x-4)^2=0

=>x-4=0

=>x=4

c: =>(x-7)(x+7)=0

=>x-7=0 hoặc x+7=0

=>x=7 hoặc x=-7

d: =>(2x-5)(2x+5)=0

=>2x-5=0 hoặc 2x+5=0

=>x=5/2 hoặc x=-5/2

a) \(5\left(x-7\right)=0\)

\(\Rightarrow x-7=0\)

\(\Rightarrow x=7\)

b) \(25\left(x-4\right)=0\)

\(\Rightarrow x-4=0\)

\(\Rightarrow x=4\)

c) \(\left(34-2x\right)\left(2x-6\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}34-2x=0\\2x-6=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=34\\2x=6\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=17\\x=3\end{matrix}\right.\)

d) \(\left(2019-x\right)\left(3x-12\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}2019-x=0\\3x-12=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2019\\3x=12\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=2019\\x=\dfrac{12}{3}=4\end{matrix}\right.\)

e) \(57\left(9x-27\right)=0\)

\(\Rightarrow9x-27=0\)

\(\Rightarrow9\left(x-3\right)=0\)

\(\Rightarrow x-3=0\)

\(\Rightarrow x=3\)

a) 5.(x-7)=0⇔x-7=0⇔x=7

b) 25(x-4)=0⇔x-4=0⇔x=4

c) (34-2x).(2x-6)=0

⇔ 34-2x=0 hoặc 2x-6=0

⇔2x=34 hoặc 2x=6

⇔ x=17 hoặc x=3

d) (2019-x).(3x-12)=0

⇔ 2019-x=0 hoặc 3x-12=0

⇔ x=2019 hoặc x=4

e) 57.(9x-27)=0

⇔ 9x-27=0

⇔ x=3

f) 25+(15-x)=30

⇔ 15-x=5

⇔ x=10

g) 43-(24-x)=20

⇔ 24-x=23

⇔ x=1

h) 2.(x-5)-17=25

⇔ 2(x-5)=42

⇔x-5=21

⇔ x=26

i) 3(x+7)-15=27

⇔ 3(x+7)=42

⇔ x+7=14

⇔ x=7

j) 15+4(x-2)=95

⇔ 4(x-2)=80

⇔ x-2=20

⇔ x=22

k) 20-(x+14)=5

⇔ x+14=15

⇔ x=1

l) 14+3(5-x)=27

⇔ 3(5-x)=13

⇔ 5-x=13/3

⇔ x=5-13/3

⇔ x=2/3

Tương tự 3. HS tự làm.

a) ( x- 55 ) . 17 = 0

     x - 55          = 0 : 17

     x - 55          = 0

     x                 = 0 + 55

     x                 = 55

Vậy x = 55

b) 25 . ( x - 75 ) = 25

             x - 75    = 25 : 25 

            x - 75     = 1

            x            = 1 + 75 

           x             = 76

Vậy x = 76

c) ( x - 5 ) ( x - 7 ) = 0

=> x - 5 = 0     hoặc       x - 7 = 0

     x       = 0 + 5             x       = 0 + 7

     x       = 5                   x       = 7

 Vậy \(x\in\left\{5;7\right\}\)

d) ( x -11 ) ( x + 17 ) = 0

=> x - 11 = 0    hoặc       x + 17 = 0

     x        = 0 + 11          x          = 0 - 17

     x        = 11                x          = -17

Vậy \(x\in\left\{11;-17\right\}\)

a,( x-55).17=0

x-55=0:17

x-55=0

x=0+55

x=55

b,25.(x-75)=25

x-75=25:25

x-75=1

x=75+1

x=76

a, (x² + 5)(x² - 25) = 0

\(\Rightarrow\left[\begin{matrix}x^2+5=0\\x^2+25=0\end{matrix}\right.\Rightarrow\left[\begin{matrix}x^2=-5\left(loại\right)\\x^2=-25\left(loại\right)\end{matrix}\right.\)

Vậy \(x=\varnothing\)

b, (x² - 5)(x² - 25) < 0

<=> x² - 5 và x² - 25 trái dấu

Ta thấy x² - 5 > x² - 25 nên \(\left\{\begin{matrix}x^2-5>0\\x^2-25< 0\end{matrix}\right.\) <=> x < 5

c, (x - 2)(x + 1) = 0

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

Vậy \(x\in\left\{2;-1\right\}\)

a) \(7x\left(x+1\right)-3\left(x+1\right)=0\Rightarrow\left(x+1\right)\left(7x-3\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+1=0\\7x+3=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{3}{7}\end{matrix}\right.\)

b) 3(x + 8) - x² - 8x = 0

=> 3(x + 8) - (x² + 8x) = 0

=> 3(x + 8) - x(x + 8) = 0

=> (x + 8)(3 - x) = 0 => \(\left[{}\begin{matrix}x+8=0\\3-x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-8\\x=3\end{matrix}\right.\)

c) \(x^2-10x=-25\Rightarrow x^2-10x+25=0\Rightarrow\left(x-5\right)^2=0\Rightarrow x=5\)

d) Giống câu c

⇒[x+1=07x+3=0⇒⎡⎣x=−1x=−37⇒[x+1=07x+3=0⇒[x=−1x=−37

b) 3(x + 8) - x² - 8x = 0

=> 3(x + 8) - (x² + 8x) = 0

=> 3(x + 8) - x(x + 8) = 0

=> (x + 8)(3 - x) = 0 => [x+8=03−x=0⇒[x=−8x=3[x+8=03−x=0⇒[x=−8x=3

c) ${}^{}-10x=-25\Rightarrow {}^{}-10x+$

a,x=5 hoac x=-5

b,x<5 hoac x<-5

a,-5;5

b,3;-3;4;-4

a) \(\left(x-2018\right)\cdot3=0\)

\(\Leftrightarrow x-2018=0\)

\(\Leftrightarrow x=2018\)

b) \(25\left(x-8\right)=0\)

\(\Leftrightarrow x-8=0\)

\(\Leftrightarrow x=8\)

c) \(25+\left(15+x\right)=75\)

\(\Leftrightarrow15+x=50\)

\(\Leftrightarrow x=35\)

a) x=2018

b)x=8

c)x=35

Bài 2:

a, (x-2018).3=0

<=> x-2018=0

<=>x=0+2018

<=>x=2018

Vậy x=2018

b, 25(x-8)=0

<=> x-8=0

<=> x=0+8

<=>x=8

Vậy x=8

c, 25+(15+x)=75

<=> 25+15+x=75

<=> 40+x=75

<=>x=75-40

<=>x=35

Vậy x=35

\(A=\left(\dfrac{1}{\sqrt{x}-1}+\dfrac{1}{\sqrt{x}+1}\right):\dfrac{1}{\sqrt{x}-1}\)

\(=\dfrac{\sqrt{x}+1+\sqrt{x}-1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\cdot\dfrac{\sqrt{x}-1}{1}\)

\(=\dfrac{2\sqrt{x}}{\sqrt{x}+1}\)