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a) \(x\left(2x-1\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5\)
\(\Leftrightarrow2x^3-x^2+10x^2-5x-2x^3-x-9x^2-4,5=3,5\)
\(\Leftrightarrow-6x=8\Leftrightarrow x=-\frac{4}{3}\)
b) \(\left(2x-5\right)^2+\left(y-3\right)^2=0\)
\(\Leftrightarrow\hept{\begin{cases}2x-5=0\\y-3=0\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{5}{2}\\y=3\end{cases}}}\)
a) x\left(2x-1\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5x(2x−1)(x+5)−(2x2+1)(x+4,5)=3,5
\Leftrightarrow2x^3-x^2+10x^2-5x-2x^3-x-9x^2-4,5=3,5⇔2x3−x2+10x2−5x−2x3−x−9x2−4,5=3,5
\Leftrightarrow-6x=8\Leftrightarrow x=-\frac{4}{3}⇔−6x=8⇔x=−34
b) \left(2x-5\right)^2+\left(y-3\right)^2=0(2x−5)2+(y−3)2=0
\(\Leftrightarrow\hept{\begin{cases}2x-5=0\\y-3=0\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{5}{2}\\y=3\end{cases}}}\)
a: =>3x+10-2x=0
hay x=-10
c: \(\Leftrightarrow3x^2-3x^2+6x=36\)
=>6x=36
hay x=6
Bài 1:
a: \(=6x^3-10x^2+6x\)
b: \(=-2x^3-10x^2-6x\)
Bài 4:
a: =>3x+10-2x=0
=>x=-10
c: =>3x2-3x2+6x=36
=>6x=36
hay x=6
Bài 1:
\(a,=6x^3-10x^2+6x\\ b,=-2x^3-10x^2-6x\)
Bài 4:
\(a,\Leftrightarrow3x+10-2x=0\Leftrightarrow x=-10\\ b,\Leftrightarrow x\left(2x^2+9x-5\right)-\left(2x^3+9x^2+x+4,5\right)=3,5\\ \Leftrightarrow2x^3+9x^2-5x-2x^3-9x^2-x-4,5=3,5\\ \Leftrightarrow-6x=8\Leftrightarrow x=-\dfrac{4}{3}\\ c,\Leftrightarrow3x^2-3x^2+6x=36\Leftrightarrow x=6\)
Bài 1:
\(a,=7xy\left(2x-3y+4xy\right)\\ b,=x\left(x+y\right)-5\left(x+y\right)=\left(x-5\right)\left(x+y\right)\\ c,=\left(x-y\right)\left(10x+8\right)=2\left(5x+4\right)\left(x-y\right)\\ d,=\left(3x+1-x-1\right)\left(3x+1+x+1\right)\\ =2x\left(4x+2\right)=4x\left(2x+1\right)\\ e,=5\left[\left(x-y\right)^2-4z^2\right]=5\left(x-y-2z\right)\left(x-y+2z\right)\\ f,=x^2+8x-x-8=\left(x+8\right)\left(x-1\right)\\ g,\left(x+y\right)^3-\left(x+y\right)=\left(x+y\right)\left[\left(x+y\right)^2-1\right]\\ =\left(x+y\right)\left(x+y-1\right)\left(x+y+1\right)\\ h,=x^2+3x+x+3=\left(x+3\right)\left(x+1\right)\)
b)3x2 - 3x(x - 2)=36 c) (3x2 - x + 1)(x - 1)+ x2(4 - 3x) = 5/2
3x2 - 3x2 + 6x= 36 3x3 - 3x2 - x2 + x + x - 1 + 4x2 - 3x3= 5/2
6x=36 =>x=36 : 6= 6 (3x3 - 3x3) + (-3x2 - x2 + 4x2) + (x + x) - 1= 5/2
2x - 1= 5/2 =>2x= 5/2 + 1= 7/2
x= 7/2 : 2 =7/4
a) 3x + 2( 5 - x) = 0
3x + 10 - 2x = 0
x + 10 = 0
x = -10.
b) x(2x - 1)(x + 5) - ( 2x2 + 1)(x + 4,5) = 3,5
* x(2x2 +10x-x-5) - (2x3 + 9x2 + x + 4,5)=3,5.
2x3 + 10x2 - x2 -5x- 2x3 - 9x2 -x -4,5=3,5
-6x - 4,5 =3,5
-6x = 8
x = -8/6.
\(\left(x-3\right)=\left(3-x\right)^2\)
\(\Leftrightarrow x-3=\left(x-3\right)^2\)
\(\Leftrightarrow\left(x-3\right)-\left(x-3\right)^2=0\)
\(\Leftrightarrow\left(x-3\right)\left[1-\left(x-3\right)\right]=0\)
\(\Leftrightarrow\left(x-3\right)\left(4-x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\4-x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=4\end{matrix}\right.\)
___________
\(x^3+\dfrac{3}{2}x^2+\dfrac{3}{4}x+\dfrac{1}{8}=\dfrac{1}{64}\)
\(\Leftrightarrow x^3+3\cdot\dfrac{1}{2}\cdot x^2+3\cdot\left(\dfrac{1}{2}\right)^2\cdot x+\left(\dfrac{1}{2}\right)^3=\dfrac{1}{64}\)
\(\Leftrightarrow\left(x+\dfrac{1}{2}\right)^3=\left(\dfrac{1}{4}\right)^3\)
\(\Leftrightarrow x+\dfrac{1}{2}=\dfrac{1}{4}\)
\(\Leftrightarrow x=\dfrac{1}{4}-\dfrac{1}{2}\)
\(\Leftrightarrow x=-\dfrac{1}{4}\)
a, \(x\left(x^2+x+1\right)-x^2\left(x+1\right)=2x+5\)
\(\Rightarrow x^3+x^2+x-x^3-x^2-2x=5\)
\(\Rightarrow-x=5\Rightarrow x=-5\)
b, \(\left(x-3\right)\left(x-2\right)-\left(x+1\right)\left(x-5\right)=0\)
\(\Rightarrow x^2-2x-3x+6-\left(x^2-5x+x-5\right)=0\)
\(\Rightarrow x^2-5x+6-x^2+4x+5=0\)
\(\Rightarrow-x=-5-6\Rightarrow x=11\)
c, \(x\left(2x-1\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5\)
\(\Rightarrow x\left(2x^2+10x-x-5\right)-\left(2x^3+9x^2+x+4,5\right)=3,5\)
\(\Rightarrow2x^3+9x^2-5x-2x^3-9x^2-x-4,5=3,5\)
\(\Rightarrow-6x=3,5+4,5\Rightarrow-6x=8\Rightarrow x=-\dfrac{4}{3}\)
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Bạn ơi ở câu a bạn làm sai rùi
\(\left(-x^2\right).\left(-1\right)=+x^2\)chứ sao lại \(-x^2\)
\(x\left(2x-1\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5\)
\(\Leftrightarrow x\left(2x^2+10x-x-5\right)-\left(2x^3+9x^2+x+4,5\right)=3,5\)
\(\Leftrightarrow2x^3+9x^2-5x-2x^3-9x^2-x-4,5=3,5\)
\(\Leftrightarrow-6x=8\Leftrightarrow x=-\frac{4}{3}\)
\(x\left(2x-1\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5\)
\(\Leftrightarrow\left(2x^2-x\right)\left(x+5\right)-\left(2x^2+1\right)\left(x+4,5\right)=3,5\)
\(\Leftrightarrow\left(2x^3+9x^2-5x\right)-\left(2x^3+9x^2+x+4,5\right)=3,5\)
\(\Leftrightarrow2x^3+9x^2-5x-2x^3-9x^2-x-4,5=3,5\)
\(\Leftrightarrow-6x-4,5=3,5\)
\(\Leftrightarrow-6x=3,5+4,5\)
\(\Leftrightarrow-6x=8\)
\(\Leftrightarrow x=-\frac{8}{6}=-\frac{4}{3}\)