x^2-0,25x=0 giúp vs nha
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![](https://rs.olm.vn/images/avt/0.png?1311)
\(x^3-0,25x=0\)
\(\Leftrightarrow x\left(x^2-0,25\right)=0\)
\(\Leftrightarrow x\left(x-0,5\right)\left(x+0,5\right)=0\)
<=>x=0 hoặc x-0,5=0 hoặc x+0,5=0
<=>x=0 hoặc x=0,5 hoặc x=-0,5
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\Rightarrow x\left(x^2-0,25\right)=0\\ \Rightarrow x\left(x-0,5\right)\left(x+0,5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=0,5\\x=-0,5\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
(x+2)^2-(x-2)(x+2)=0
=> (x+2)(x+2-x+2)=0
=> (x+2).4=0
=> x+2=0
=> x=-2
mấy câu còn lại tự làm nha
a) (x+2)^2-(x-2)(x+2)=0
(x+2).[x+2-x+2]=0
(x+2).4=0
x+2=0
x=-2
b)(2x - 1)^2 - (2x + 5) (2x - 5 ) = 18
4x2-4x+1-4x2+25=18
26-4x=18
4x=8
x=2
c)( 2x - 1)^2 - 25 = 0
( 2x - 1)^2 - 52 = 0
(2x-1-5)(2x-1+5)=0
(2x-6)(2x+4)=0
\(\Rightarrow\orbr{\begin{cases}2x-6=0\\2x+4=0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x^3-0,25x^2=0
<=>x2.(x-0,25)=0
<=>x=0 hoặc x-0,25=0
<=>x=0 hoặc x=0,25
![](https://rs.olm.vn/images/avt/0.png?1311)
a)9 (3x - 2) = x ( 2- 3x)
9 (3x - 2) - x ( 2- 3x) = 0
9 (3x - 2) + x ( 3x-2 ) = 0
( 9 + x )( 3x - 2 ) = 0
\(\Rightarrow\orbr{\begin{cases}9+x=0\\3x-2=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=-9\\x=\frac{2}{3}\end{cases}}\)
b)x3 - 0,25x = 0
x(x2-0,25)=0
Suy ra x=0
9( 3x-2)= x(2-3x)
<=> 9(3x-2)= - x(3x-2)
<=> \(\frac{-x}{9}\)= \(\frac{3x-2}{3x-2}\)
<=> \(\frac{-x}{9}\)= 1
<=> -x=9
<=> x=-9
b, x^3-0,25x =0
<=> x(x^2-0,25)= 0
<=> x=0 <=> x=0 <=> x=0
hoặc x^2- 0,25 =0 <=> x^2=0,25 <=> x= 0,5
hoặc x= -0,5
![](https://rs.olm.vn/images/avt/0.png?1311)
a,\(\left(x-2\right)\left(x+2\right)=0\)
\(< =>\orbr{\begin{cases}x-2=0\\x+2=0\end{cases}< =>\orbr{\begin{cases}x=2\\x=-2\end{cases}}}\)
b,\(\left(\frac{3}{4}x-\frac{1}{2}\right)\left(0,25x+\frac{4}{3}\right)=0\)
\(< =>\orbr{\begin{cases}\frac{3x}{4}-\frac{2}{4}=0\\\frac{3x}{12}+\frac{16}{12}=0\end{cases}}\)
\(< =>\orbr{\begin{cases}3x-2=0\\3x+16=0\end{cases}}< =>\orbr{\begin{cases}x=\frac{2}{3}\\x=-\frac{16}{3}\end{cases}}\)
\(\left(x-2\right)\left(x+2\right)=0\)
=> \(\orbr{\begin{cases}x-2=0\\x+2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
\(\left(\frac{3}{4}x-\frac{1}{2}\right)\left(0,25x+\frac{4}{3}\right)=0\)
=> \(\orbr{\begin{cases}\frac{3}{4}x-\frac{1}{2}=0\\0,25x+\frac{4}{3}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=-\frac{16}{3}\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, Ta có: 27/x = 9/14
27/x = 27/42
Vậy x = 42
b, 5/0,18 = 12,5/x
Suy ra 5.x = 0,18 . 12,5
5.x = 2,25
x = 2,25 : 5
x = 0,45 = 9/10
Vậy x = 9/10
c, 0,25x : 3 = 5/6 : 0,125
1/4x : 3 = 5/6 : 1/8
1/4x : 3 = 5/6 . 8
1/4x : 3 = 20/3
1/4x = 20/3 . 3
1/4x = 20
x = 20 : 1/4
x = 20 . 4
x = 80
Vậy x = 80
d, x/-15 = -60/x
Suy ra x . x= -15 . (-60)
x2 = 900
x2 = 302
Suy ra x=30
Vậy x = 30
Chúc bạn học tốt
\(x^2-0,25x=0\)
⇔\(x\left(x-0,25\right)=0\)
⇔ x = 0 hoặc x = 0,25