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8) \(\left(x+4\right)\left(6x-12\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=0\\6x-12=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-4\\6x=12\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-4\\x=2\end{cases}}}\)
Vậy \(x\in\left\{-4;2\right\}\)
11) \(\left(\frac{7}{8}-2x\right)\left(3x+\frac{1}{3}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{7}{8}-2x=0\\3x+\frac{1}{3}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=\frac{7}{8}-0\\3x=-\frac{1}{3}\end{cases}}\Leftrightarrow\orbr{\begin{cases}2x=\frac{7}{8}\\x=-\frac{1}{9}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{16}\\x=-\frac{1}{9}\end{cases}}}\)
Vậy \(x\in\left\{\frac{7}{16};-\frac{1}{9}\right\}\)
12) \(3x-2x^2=0\)
\(\Leftrightarrow x\left(3-2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{3}{2}\end{cases}}\)
Vậy \(x\in\left\{0;\frac{3}{2}\right\}\)
13) \(5x+10x^2=0\)
\(\Leftrightarrow5x\left(1+2x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-\frac{1}{2}\end{cases}}\)
Vậy \(x\in\left\{0;-\frac{1}{2}\right\}\)
\(\left(x-3\right)\left(x^2+3x+9\right)+x\left(x+2\right)\left(2-x\right)=1\)
\(x^3-3^3+x\left(2^2-x^2\right)=1\)
\(x^3-27+4x-x^3=1\)
\(4x-27=1\)
\(4x=28\)
\(x=7\)
Vậy x = 7
+) (5x-1). (2x+3)-3. (3x-1)=0
10x^2+15x-2x-3 - 9x+3=0
10x^2 +8x=0
2x(5x+4)=0
=> x=0 hoặc x= -4/5
+) x^3 (2x-3)-x^2 (4x^2-6x+2)=0
2x^4 -3x^3 -4x^4 + 6x^3 - 2x^2=0
-2x^4 + 3x^3-2x^2=0
x^2(-2x^2+x-2)=0
-2x^2(x-1)^2=0
=> x=0 hoặc x=1
+) x (x-1)-x^2+2x=5
x^2 -x -x^2+2x=5
x=5
+) 8 (x-2)-2 (3x-4)=25
8x - 16-6x+8=25
2x=33
x=33/2
= x3 + 33 -x(x2 -1) -27 =0 ( tổng các lập phuong)
x =0
CX100%
OLM chỉ có phần chụp ảnh cho CTV
Lưu ý bạn cố phải viết thẳng hàng vì OLM ko viết đc
a,5x^2 - 10xy + 5y^2 - 20z^2
=5(x^2 -2xy +y^2-4z^2 )
=5[(x-y)^2-(2z)^2 ]
=5 .(x-y-2z)(x-y+2z)
b,.= (5x^2+5xy)-(x+y)
=5x(x+y)-(x+y)
=(x+y)(5x-1)
d,x2 - 4x + 3 = x2 - x - 3x + 3
= x(x - 1) - 3(x - 1) = (x -1)(x - 3)
e,x2 - x - 6 = x2 +2x - 3x - 6
= x(x + 2) - 3(x + 2)
= (x + 2)(x - 3)
f,x2 - x - 6 = x2 +2x - 3x - 6
= x(x + 2) - 3(x + 2)
= (x + 2)(x - 3)
g,2x^2(3x - 5)
= 2x^2 x 3x - 2x^2 x 5
= 6x^3 - 10x^2
\(\text{1) }\)
\(\text{a) }5x^2-10xy+5y^2-20z^2\)
\(=5\left(x^2-2xy+y^2-4z^2\right)\)
\(=5\left[\left(x^2-2xy+y^2\right)-4z^2\right]\)
\(=5\left[\left(x-y\right)^2-\left(2z\right)^2\right]\)
\(=5\left(x-y+2z\right)\left(x-y-2z\right)\)
\(\text{b) }5x^2+5xy-x-y\)
\(=\left(5x^2-x\right)+\left(5xy-y\right)\)
\(=x\left(5x-1\right)+y\left(5x-1\right)\)
\(=\left(5x-1\right)\left(x+y\right)\)
\(\text{c) }2\left(x+4\right)-x^2+16\)
\(=2\left(x+4\right)-\left(x^2-16\right)\)
\(=2\left(x+4\right)-\left(x+4\right)\left(x-4\right)\)
\(=\left(x+4\right)\left(2-x+4\right)\)
\(=\left(x+4\right)\left(6-x\right)\)
\(\text{d) }x^2+4x+3\)
\(=x^2+3x+x+3\)
\(=\left(x^2+3x\right)+\left(x+3\right)\)
\(=x\left(x+3\right)+\left(x+3\right)\)
\(=\left(x+3\right)\left(x+1\right)\)
\(\text{e) }x^2+5x-6\)
\(=x^2+6x-x-6\)
\(=\left(x^2+6x\right)-\left(x+6\right)\)
\(=x\left(x+6\right)-\left(x+6\right)\)
\(=\left(x+6\right)\left(x-1\right)\)
\(a,5x^3+x=0\)\(\Rightarrow x\left(5x^2+1\right)=0\)
Vì \(5x^2+1>0\Rightarrow x=0\)
\(b,x^3+3x^2+3x+2=0\)
\(\Rightarrow x^3+2x^2+x^2+2x+x+2=0\)
\(\Rightarrow x^2\left(x+2\right)+x\left(x+2\right)+\left(x+2\right)=0\)
\(\Rightarrow\left(x+2\right)\left(x^2+x+1\right)=0\)
Mà \(x^2+x+1=x^2+2.x.\frac{1}{2}+\frac{1}{4}-\frac{1}{4}+1=\left(x+\frac{1}{2}\right)^2+\frac{3}{4}>0\)
\(\Rightarrow x+2=0\Leftrightarrow x=-2\)
a) x + 5x3 = 0
=> x.( 1 + 5x2 ) = 0
=> x = 0 hoặc 1 + 5x2 = 0 ( Vô lí )
Vậy : x = 0