Mất dấu nên xét 2 th.

TH1

`x^2-4x+4=0`

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

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

`<=>x-2=0`

`<=>x=2`

`=>S={2}`

TH2

`x^2+4x+4=0`

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

`<=>(x+2)^2=0`

`<=>x+2=0`

`<=>x=-2`

`=>S={-2}`

đề à -4x hay +4x nó sẽ ra kết quả khác nhau em ạ!

=x^2 +2.x.2 +2^2

=(x+2)^2

`x^2+4x+4=0`

`⇔x^2+2.x.2+2^2=0`

`⇔(x+2)^2=0`

`⇔x+2=0⇔x=−2`

Vậy `x=-2`.

\(x^2+4x+4=x^2+2.2.x+2^2=\left(x+2\right)^2=0\Rightarrow x+2=0\Rightarrow x=-2\)

(2x-3)^2-4x(x-3)= 0

=> 4x^2-12x+9 - 4x^2 + 12x=0

=> 9=0 ( vô cmn lí )

=> vô nghiệm

Sai or đúng chưa rõ tự kiểm tra oke

1/ \(\left(9x^2-25\right)-\left(6x-10\right)=0\)

\(\Leftrightarrow9x^2-6x-35=0\)

\(\Leftrightarrow\left(2x-1\right)^2-36=0\)

\(\Leftrightarrow\left(2x-7\right)\left(2x+6\right)=0\)

2/ \(\left(3x+5\right)^2-4x^2=0\)

\(\Leftrightarrow\left(x+5\right)\left(5x+5\right)=0\)

3/ \(25x^2-\left(4x-3\right)^2=0\)

\(\Leftrightarrow\left(x+3\right)\left(9x-3\right)=0\)

1) ( 9x² - 25 ) - ( 6x - 10 ) = 0

\(\Leftrightarrow\) [ ( 3x)² - 5² ] - 2.( 3x + 5 ) = 0

\(\Leftrightarrow\)( 3x - 5 ).( 3x + 5 ) - 2.( 3x - 5 ) = 0

\(\Leftrightarrow\) ( 3x + 5 ).( 3x + 5 - 2 ) = 0

\(\Leftrightarrow\)( 3x + 5 ).( 3x + 3 ) = 0

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

Vậy x = \(\frac{-5}{3}\) , x = -1

2) ( 3x + 5 )² - 4x²  = 0

\(\Leftrightarrow\) ( 3x + 5 - 2x ).( 3x + 5 + 2x ) = 0

\(\Leftrightarrow\)( x + 5 ).( 5x + 5 ) = 0

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

Vậy x = -5 , x = -1

3) 25x² - ( 4x - 3 )² = 0

\(\Leftrightarrow\)( 5x )2 - ( 4x - 3 )² = 0

\(\Leftrightarrow\) ( 5x - 4x + 3 ).(5x + 4x - 3 ) = 0

\(\Leftrightarrow\)( x + 3 ).( 9x - 3 ) = 0

\(\Leftrightarrow\)\(\orbr{\begin{cases}x+3=0\\9x-3=0\end{cases}}\)\(\Leftrightarrow\)\(\orbr{\begin{cases}x=-3\\9x=3\end{cases}}\)\(\Leftrightarrow\)\(\orbr{\begin{cases}x=-3\\x=\frac{1}{3}\end{cases}}\)

Vậy x = 3 , x = \(\frac{1}{3}\)

Chịu :)

S=n(n+1)mũ 2  trên   4

1) \(\left(3x+7\right)^2-\left(2x-3\right)^2=0\)

\(\Leftrightarrow\left(3x+7-2x+3\right)\left(3x+7+2x-3\right)=0\)

\(\Leftrightarrow\left(x+10\right)\left(5x+4\right)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x+10=0\\5x+4=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-10\\x=\frac{-4}{5}\end{cases}}\)

Vạy ...

phần 2 tương tự áp dụng \(a^2-b^2=\left(a-b\right)\left(a+b\right)\)

\((4x-1)^2-(5-3x)^2=0\)

\(\Leftrightarrow(4x-1-5-3x)(4x+1+5-3x)=0\)

\(\Leftrightarrow(x-6)(x+6)=0\)

\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)

Vậy : ...

Sai rồi nhé bỏ qua , mk xin lỗi

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

n) \(\dfrac{4}{49}-4x^2=\left(\dfrac{2}{7}-2x\right)\left(\dfrac{2}{7}+2x\right)\)

o) \(\left(x-3\right)\left(x+3\right)=x^2-9\)

Mik cần gấp