a; Đặt x+7=0

=>x=-7

b: Đặt x-4=0

=>x=4

c: Đặt -8x+20=0

=>-8x=-20

=>\(x=\frac{20}{8}=\frac52\)

d: Đặt \(x^2-100=0\)

=>(x-10)(x+10)=0

=>\(\left[\begin{array}{l}x-10=0\\ x+10=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=10\\ x=-10\end{array}\right.\)

e: Đặt \(4x^2-81=0\)

=>(2x-9)(2x+9)=0

=>\(\left[\begin{array}{l}2x-9=0\\ 2x+9=0\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=9\\ 2x=-9\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac92\\ x=-\frac92\end{array}\right.\)

f: Đặt \(x^2-7=0\)

=>\(x^2=7\)

=>\(x=\pm\sqrt7\)

g: Đặt \(x^2-9x=0\)

=>x(x-9)=0

=>\(\left[\begin{array}{l}x=9\\ x=0\end{array}\right.\)

h: Đặt \(x^3+3x=0\)

=>\(x\left(x^2+3\right)=0\)

mà \(x^2+3\ge3>0\forall x\)

nên x=0

b: 1/2x-4=0

=>1/2x=4

hay x=8

a: x+7=0

=>x=-7

e: 4x²-81=0

=>(2x-9)(2x+9)=0

=>x=9/2 hoặc x=-9/2

g: x²-9x=0

=>x(x-9)=0

=>x=0 hoặc x=9

a)\(x+7=0=>x=-7\)

b)\(\dfrac{1}{2}x-4=0=>\dfrac{1}{2}x=4=>x=8\)

c)\(-8x+20=0=>-8x=-20=>x=\dfrac{5}{2}\)

d)\(x^2-100=0=>x^2=100=>\left[{}\begin{matrix}x=10\\x=-10\end{matrix}\right.\)

a: x+7=0

nên x=-7

b: x-4=0

nên x=4

c: -8x+20=0

=>-8x=-20

hay x=5/2

d: x²-100=0

=>(x-10)(x+10)=0

=>x=10 hoặc x=-10

a) x +7 =0

=>x = -7

b) x - 4 =0=>x = 4

c) -8x + 20 = 0 =>-8x =-20 =>\(x=-\dfrac{20}{-8}=\dfrac{5}{2}\)

d)\(x^2-100=0=>x^2=100>\left[{}\begin{matrix}x=10\\x=-10\end{matrix}\right.\)

Phần nào bạn ko nhìn thấy thì bảo mk nhé

a) Đặt A(x)=0

\(\Leftrightarrow4x-4+3x-5=0\)

\(\Leftrightarrow7x=9\)

hay \(x=\dfrac{9}{7}\)

b) Đặt B(x)=0

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

\(\Leftrightarrow x\left(-\dfrac{4}{3}x+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\-\dfrac{4}{3}x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{3}{4}\end{matrix}\right.\)

a)

\(4\left(x-1\right)+3x-5=0\\ \text{⇔}4x-4+3x-5=0\\ \text{⇔}7x=9\\ \text{⇔}x=\dfrac{9}{7}\)

Vậy nghiệm của đa thức x= \(\dfrac{9}{7}\)

b)

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

\(\text{⇔}\left\{{}\begin{matrix}x=0\\-\dfrac{4}{3}x+1=0\end{matrix}\right.\)\(\text{⇔}\left\{{}\begin{matrix}x=0\\x=\dfrac{3}{4}\end{matrix}\right.\)

Vậy nghiệm của đa thức là...

a. Ta có x² - 4 = 0

=> x² = 4

=> x = 2 hoặc x = -2

b. Ta có (x+3)(2x-1)

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

Vậy...

a,f(x)=x²-4  

f(x) = 0

x² - 4 = 0

x²      = 0 + 4 

x²      = 4

=> x = 2

=> x = 2 là nghiệm của đa thức f(x)

Bài 2 : 

a, \(x^2-4x+4+1=\left(x-2\right)^2+1\ge1\)

Dấu ''='' xảy ra khi x = 2 

b, Ta có \(\left(x+1\right)^2+10\ge10\Rightarrow\dfrac{-100}{\left(x+1\right)^2+10}\ge-\dfrac{100}{10}=-10\)

Dấu ''='' xảy ra khi x = -1 

 Bài 1 : 

a, Ta có \(A\left(x\right)=x^2-4x+4=0\Leftrightarrow\left(x-2\right)^2=0\Leftrightarrow x=2\)

b, \(B\left(x\right)=x^2\left(2x+1\right)+\left(2x+1\right)=\left(x^2+1>0\right)\left(2x+1\right)=0\Leftrightarrow x=-\dfrac{1}{2}\)

c, \(C\left(x\right)=\left|2x-3\right|=\dfrac{1}{3}\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{1}{3}+3=\dfrac{10}{3}\\2x=-\dfrac{1}{3}+3=\dfrac{8}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\)

a) \(4x^2-1\)

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

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

b) \(x^2-3y^2\)

\(=x^2-\left(y\sqrt{3}\right)^2\)

\(=\left(x-y\sqrt{3}\right)\left(x+y\sqrt{3}\right)\)

c) \(9x^2-\dfrac{1}{4}\)

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

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

d) \(\left(x-y\right)^2-4\)

\(=\left(x-y\right)^2-2^2\)

\(=\left(x-y-2\right)\left(x-y+2\right)\)

e) \(9-\left(x-y\right)^2\)

\(=3^2-\left(x-y\right)^2\)

\(=\left(3+x-y\right)\left(3-x+y\right)\)

f) \(\left(x^2+4\right)^2-16x^2\)

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

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

\(=\left(x-2\right)^2\left(x+2\right)^2\)

 \(a,4x^2-1\)

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

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

\(b,25x^2-0,09\)

\(=\left(5x\right)^2-\left(0,3\right)^2\)

\(=\left(5x-0,3\right)\left(5x+0,3\right)\)

\(d,\left(x-y\right)^2-4\)

\(=\left(x-y\right)^2-2^2\)

\(=\left(x-y-2\right)\left(x-y+2\right)\)

\(e,9-\left(x-y\right)^2\)

\(=3^2-\left(x-y\right)^2\)

\(=\left[3-\left(x-y\right)\right]\left[3+\left(x-y\right)\right]\)

\(=\left(3-x+y\right)\left(3+x-y\right)\)

\(=\left(-x+y+3\right)\left(x-y+3\right)\)

\(f,\left(x^2+4\right)^2-16x^2\)

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

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

\(=\left(x^2-2\cdot x\cdot2+2^2\right)\left(x^2+2\cdot x\cdot2+2^2\right)\)

\(=\left(x-2\right)^2\left(x+2\right)^2\)

#\(Toru\)

`#3107`

a)

`4x^2 - 1`

`= (2x)^2 - 1^2`

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

b)

`25x^2 - 0,09`

`= (5x)^2 - (0,3)^2`

`= (5x - 0,3)(5x + 0,3)`

d)

`(x - y)^2 - 4`

`= (x - y)^2 - 2^2`

`= (x - y - 2)(x - y + 2)`

e)

`9 - (x - y)^2`

`= 3^2 - (x - y)^2`

`= (3 - x + y)(3 + x - y)`

f)

`(x^2 + 4)^2 - 16x^2`

`= (x^2 + 4)^2 - (4x)^2`

`= (x^2 - 4x + 4)(x^2 + 4x + 4)`

`= (x - 2)^2 * (x + 2)^2`

_____

Tất cả các câu trên bạn sử dụng hđt:

`A^2 - B^2 = (A - B)(A + B)`

\(#MaiChangLaAnhDau..\)

a: P(x)=0

=>4x-7-x-14=0

=>3x-21=0

=>x=7

b: x^2+x=0

=>x(x+1)=0

=>x=0; x=-1