x³-25x=0

 x(x²-25)=0

x(x²-5²)=0

x(x-5)(x+5)=0

=> x=0 ; x-5= 0 hoặc x+5= 0

=> x=0; x=5 hoặc x= -5

=> x ={ 0;5;-5}

x^3 - 25x = 0
<=> x( x^2 - 25) = 0
<=> x( x - 5)(x + 5) = 0
<=> x = 0
x -5 = 0
x + 5 = 0
<=> x = 0
x = 5
x = -5

x ≠ − 3 và  x ≠ 1

Ta có:

\(0.25x^3+x^2+x=0\)

\(\Leftrightarrow x^3+4x^2+4x=0\)

\(\Leftrightarrow x\left(x^2+4x+4\right)=0\)

\(\Leftrightarrow x\left(x+2\right)^2=0\)

\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)

\(0,25x^3+x^2+x=0\)

\(x\left(0,25x^2+x+1\right)=0\)

\(x\left[\left(0,5x\right)^2+2\cdot0,5x\cdot1+1^2\right]=0\)

\(x\left(0,5x+1\right)^2=0\)

\(\Rightarrow\orbr{\begin{cases}x=0\\0,5x+1=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)

Vậy.....

x³-25x=0

=> x(x²-25)=0

=> x(x²-5²)=0

=> x(x-5)(x+5)=0

=> x=0            hoặc x-5=0         hoặc x+5=0

=> x=0            hoặc x=5             hoặc x=-5

x³-25x=0

<=>x.(x²-25)=0

<=>x.(x-5)(x+5)=0

<=>x=0 hoặc x-5=0 hoặc x+5=0

<=>x=0 hoặc x=5 hoặc x=-5

x³-25x=0 ( x>=0) => x*(x² - 25) =0

Xét 2 trường hợp => x = 0;5

\(a,\Leftrightarrow4x^2-24x+36-4x^2+1=10\\ \Leftrightarrow-24x=-27\Leftrightarrow x=\dfrac{9}{8}\\ b,\Leftrightarrow x\left(x^2-25\right)=0\\ \Leftrightarrow x\left(x-5\right)\left(x+5\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)

\(a,4.\left(x-3\right)^2-\left(2x-1\right)\left(2x+1\right)=10\)

\(\Leftrightarrow4.\left(x^2-6x+9\right)-\left(2x^2\right)-1^2=10\)

\(\Leftrightarrow4x^2-24x+36-4x^2+1=10\)

\(\Leftrightarrow-24x+27=10\)

\(\Leftrightarrow-24x=-27\)

\(\Leftrightarrow x=\dfrac{27}{24}\)

Vậy \(x=\dfrac{27}{24}\)

\(b,x^3-25x=0\)

\(\Leftrightarrow x\left(x^2-25\right)=0\)

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

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-5=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)

Vậy \(x\in\left\{0;\pm5\right\}\)

b) \(\left(x+3\right)^2-5x-15=0\\ \Leftrightarrow\left(x+3\right)^2-5\left(x+3\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x+3-5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x+3=0\\x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-3\\x=2\end{matrix}\right.\)

Vậy tập nghiệm của phương trình là : \(S=\left\{-3;2\right\}\)

c) \(2x^5-4x^3+2x=0\\ \Leftrightarrow2x\left(x^4-2x^2+1\right)=0\\ \Leftrightarrow2x\left(x^2-1\right)^2=0\\ \Rightarrow\left[{}\begin{matrix}2x=0\\\left(x^2-1\right)^2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x^2=1\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)

Vậy tập nghiệm của pt là : \(S=\left\{0;1;-1\right\}\)

a: \(\Leftrightarrow x\left(x-5\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=5\\x=-5\end{matrix}\right.\)

=> cái vế  trong ngoặc là 0.

rồi bạn làm tiếp nha

\(\dfrac{-12}{25}.\left(\dfrac{3}{4}-x+\dfrac{6}{-11}-\dfrac{5}{6}\right)=0\)

\(\dfrac{3}{4}-x+\dfrac{-6}{11}-\dfrac{5}{6}=0\)

\(\dfrac{3}{4}-x+\dfrac{-91}{66}=0\)

\(\dfrac{3}{4}-x=0-\left(\dfrac{-91}{66}\right)\)

\(\dfrac{3}{4}-x=\dfrac{91}{66}\)

\(x=\dfrac{-83}{132}\)

a: Ta có: \(-\dfrac{12}{25}\cdot\left(\dfrac{3}{4}-x+\dfrac{6}{-11}-\dfrac{5}{6}\right)=0\)

\(\Leftrightarrow x+\dfrac{83}{132}=0\)

hay \(x=-\dfrac{83}{132}\)

a) 20x³y² - 25x²y³ + 5x²y²

= 5x²y²(4x - 5y + 5) 

b) Ta có x³ - 25x = 0

<=> x(x² - 25) = 0

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

<=> x = 0 hoặc x - 5 = 0 hoặc x + 5 = 0

<=> x = 0 hoặc x = 5 hoặc x = -5

Vậy x \(\in\left\{0;5;-5\right\}\)là nghiệm phương trình

c) (x + 3)² = x + 3

<=> (x + 3)² - (x + 3) = 0

<=> (x + 3)(x + 3 - 1) = 0

<=> (x + 3)(x + 2) = 0

<=> \(\orbr{\begin{cases}x+3=0\\x+2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=-2\end{cases}}\)

Vậy x \(\in\left\{-3;-2\right\}\)