(2x-1)^2=0 hoặc (x+3)^2=0

2x-1=0             x+3=0

2x=0+1           x=-3

x=1/2

Rối mắt , loạn thần kinh toàn là x không

Nhiều quá bạn ơi 

Bài 2: 

a: \(\Leftrightarrow\left(x-2\right)\left(x+1\right)=0\)

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

\(\left(x+\frac{2}{3}\right)\left(\frac{5}{4}-2x\right)>0\)

th1 : 

\(\hept{\begin{cases}x+\frac{2}{3}>0\\\frac{5}{4}-2x>0\end{cases}\Rightarrow\hept{\begin{cases}x>-\frac{2}{3}\\-2x>-\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x>-\frac{2}{3}\\x>\frac{5}{8}\end{cases}\Rightarrow}x>\frac{5}{8}}\)

th2 : 

\(\hept{\begin{cases}x+\frac{2}{3}< 0\\\frac{5}{4}-2x< 0\end{cases}\Rightarrow\hept{\begin{cases}x< -\frac{2}{3}\\-2x< -\frac{5}{4}\end{cases}\Rightarrow}\hept{\begin{cases}x< -\frac{2}{3}\\x< \frac{5}{8}\end{cases}\Rightarrow}x< -\frac{2}{3}}\)

vậy_

Ta có: \(\left(2x-3\right).\left(x-5\right).2.x^2=0\)

\(\Leftrightarrow2x-3=0\)hoặc x-5=0 hoặc \(x^2=0\)

\(\Leftrightarrow x=\frac{3}{2}\)hoặc x=5 hoặc x=0

\(3x+4=0\Leftrightarrow x=-\dfrac{4}{3}\\ 2x\left(x-1\right)-\left(1+2x\right)=-34\\ \Leftrightarrow2x^2-2x-1-2x=-34\\ \Leftrightarrow2x^2-4x+33=0\\ \Leftrightarrow2\left(x^2-2x+1\right)+30=0\\ \Leftrightarrow2\left(x-1\right)^2+30=0\\ \Leftrightarrow x\in\varnothing\left[2\left(x-1\right)^2+30\ge30>0\right]\\ x^2+9x-10=0\\ \Leftrightarrow x^2-x+10x-10=0\\ \Leftrightarrow\left(x-1\right)\left(x+10\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=-10\end{matrix}\right.\\ \left(7x-1\right)\left(2+5x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}7x-1=0\\2+5x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{7}\\x=-\dfrac{2}{5}\end{matrix}\right.\)

a) |2x-1|+|3y-5|=0

\(\Rightarrow\left|2x-1\right|=0\) và  \(\left|3y-5\right|=0\) 

\(\Rightarrow2x-1=0\)   và   \(3y-5=0\) 

\(\Rightarrow2x=1\)   và    \(3y=5\)

\(\Rightarrow x=\frac{1}{2}\) Và  \(y=\frac{5}{3}\) 

Vậy.........

b,   /2x-3/^2 + /y-1/ = 0

\(\Rightarrow\)/2x-3 /^2=0         \(\Rightarrow\)x= 3/2^6    \(\Rightarrow\)x= 9/4

\(\Rightarrow\)/y-1/ =0            \(\Rightarrow\)y=1

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

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

\(\Leftrightarrow\left(2x-3\right)\left(4x-6\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-3=0\\4x-6=0\end{matrix}\right.\)\(\Leftrightarrow x=\dfrac{3}{2}\)

b. \(\left(x-4\right)\left(3x-2\right)+x^2-16=0\)

\(\Leftrightarrow\left(x-4\right)\left(3x-2\right)+\left(x-4\right)\left(x+4\right)=0\)

\(\Leftrightarrow\left(x-4\right)\left(3x-2+x+4\right)=0\)

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

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

(2x-3)(x+1)+(2x+3)(3x-7)=0

<=> (2x-3)(x+1)-(2x-3)(3x-7)=0

<=> (2x-3)(x+1-3x+7)=0

<=> (2x-3)(-2x+8)=0

<=> 2x-3=0 => x=3/2

Hoặc -2x+8=0 => x= 4

Vậy x thuộc{3/2;4}

d) (x - 2)^2 = 1 

= x = 2 + 1 = 3  

c) (x^2 + 1). (x + 2011) = 0

Tim x:

a) x^2 + 2x = 0 

= \(x^2+2x=0\)

= \(x^2=0:2=0\)

b) (x - 3) + 2x^2 - 6x = 0

Rút gọn thừa số chung : 

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

x = \(\frac{-1}{2}\)x = 3

=\(x^2=0\)

=> x = 0