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\(-4\left(x-1\right)^2+\left(2x-1\right)\left(2x+1\right)=-3\)   \(3\)

<=> \(-4\left(x^2-2x+1\right)+4x^2-1=-3\)

<=> \(-4x^2+8x-4+4x^2-1=-3\)

<=> \(8x-5=-3\)

<=>  \(8x=2\)

<=> \(x=\frac{1}{4}\)

        \(-4\left(x-1\right)^2+\left(2x-1\right)\left(2x+1\right)=-3\)

\(\Rightarrow-4\left(x^2-2x+1\right)+4x^2-1=-3\)

\(\Rightarrow-4x^2+8x-4+4x^2-1=-3\)

\(\Rightarrow8x-5=-3\)

\(\Rightarrow8x=2\Rightarrow x=0,25\)

Vậy \(x=0,25\)

Chúc bạn học tốt.

a) \(\left(x-2\right)^2-\left(x+3\right)^2-4\left(x+1\right)=5\)

\(\Leftrightarrow x^2-4x+4-\left(x^2+6x+9\right)-4x-4=5\)

\(\Leftrightarrow x^2-4x+4-x^2-6x-9-4x-4=5\)

\(\Leftrightarrow-14x=14\)

\(\Leftrightarrow x=-1\)

b) \(\left(2x-3\right)\left(2x+3\right)-\left(x-1\right)^2-3x\left(x-5\right)=-44\)

\(\Leftrightarrow4x^2-9-x^2+2x-1-3x^2+15x=-44\)

\(\Leftrightarrow17x=-34\Rightarrow x=-2\)

\(\text{1) -5x - (-3)= 13}\)

\(\Rightarrow-5x=10\)

\(x=10:-5\)

\(x=-2\)

\(\text{2) |x-3| - 7= 13}\)

\(\Rightarrow|x-3|=20\)

\(\Rightarrow\orbr{\begin{cases}x-3=20\\x-3=-20\end{cases}\Leftrightarrow\orbr{\begin{cases}x=23\\x=-17\end{cases}}}\)

\(\text{3) 17- (43 - |x|)= 45}\)

\(\Rightarrow43-|x|=-28\)

\(|x|=71\)

\(\Rightarrow\orbr{\begin{cases}x=71\\x=-71\end{cases}}\)

\(\text{5) (x-2).(x+15)= 0}\)

\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+15=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-15\end{cases}}}\)

4,\(\text{4) (x-3).(x-5) < 0}\)\(\left(x-3\right).\left(x-5\right)< 0\)

\(\Rightarrow\left(x-3\right)\)và \(\left(x-5\right)\)trái dấu

Mà \(\left(x-3\right)>\left(x-5\right)\Rightarrow\left(x-3\right)>0\)và \(\left(x-5\right)< 0\)

\(+,x-3>0\Rightarrow x>3\)

\(+,x-5< 0\Rightarrow x< 5\)

\(\Rightarrow3< x< 5\)

\(\)Mà \(x\in Z\)

\(\Rightarrow x=4\)

học tốt

1<=>-5x+3=13

<=>-5x=10

<=>x=-2

2<=>|x-3|=20

th1:x-3=20

<=>x=23

th2:x-3=-20

<=>x=-17

3,<=>17-43+|x|=45

<=>|x|=71

th1:x=71

th2:x=-71

4<=>x-3<0                  x-5>0

<=>x<3                       x>5(loại vì ko có số naod vừa lớn hơn 5 và nhỏ hơn 3)

<=>x-3>0                   x-5<0

<=>x>3                      x<5

=>3<x<5

5,<=>x-2=0                  x+15=0

<=>x=2                       x=-15

https://www.youtube.com/channel/UCb2H-q6FmW61PgcsL1OGPfw ủng hộ bạn t:))

1) -5x- (-3)= 13

=>-5x +3= 13   => -5x = 10  => x = 10: (-5)   => x =-2

2) |x-3|- 7=  13

=>|x-3|= 20  =>  \(\orbr{\begin{cases}x-3=20\\x-3=-20\end{cases}}\Rightarrow\orbr{\begin{cases}x=20+3\\x=3-20\end{cases}}\Rightarrow\orbr{\begin{cases}x=23\\x=-17\end{cases}}\)

4)

 \(17-\left(43-\left|x\right|\right)=45\\ \Rightarrow43-\left|x\right|=-28\Rightarrow\left|x\right|=71\Rightarrow\orbr{\begin{cases}x=71\\x=-71\end{cases}}\)

5)\(\left(x-2\right).\left(x+15\right)=0\Rightarrow\orbr{\begin{cases}x-2=0\\x+15=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=-15\end{cases}}\)

\(\frac{3}{4}+\frac{1}{4}:x=\frac{2}{5}\)

\(\Rightarrow\frac{1}{4}:x=\frac{2}{5}-\frac{3}{4}\)

\(\frac{\Rightarrow1}{4}:x=-\frac{7}{20}\)

\(\Rightarrow x=\frac{1}{4}:\frac{-7}{20}\)

\(\Rightarrow x=-\frac{5}{7}\)

\(\frac{1}{4}:x=\frac{2}{5}-\frac{3}{4}\)

\(\frac{1}{4}:x=\frac{-7}{20}\)

\(x=\frac{-28}{20}=\frac{-14}{10}=-1,4\)

Chúc bạn học tốt!!!

1/4:x=2/5-3/4

1/4:x=-7/20

x=1/4:-7/20

x=-5/7

a) (x^3+12):4=60+(-3)

(x^3+12).1/4=57

x^3+12=228

x^3=216

x^3=6^3

=> x=6

b) 2^x+1.3=96

2^x+1.3=2^5.3

2^x+1=2^5.3:3

2^x+1=2^5

=> x+1=5

x=4

124 + ( 118 - x ) = 127

             118 - x  = 127 - 124

             118 - x  = 3

                      x  = 118 - 3

                      x  = 115

mik nha

x=115

118-x=127-124

118-x=3

x=118-3

x=115