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Tìm x biết:
a) x^2-3.x=0
b) 2.x^2+5.x=0
c) x^2+1=0
d) x^2-1=0
e) x.(x-3)-x+3=0
g) x^2.(x+2)-9.x-18=0
a)x^2-3.x=0
x^3.(1-3)=0
x^3.(-2)=0
x^3=0:(-2)
x^3=0
x=0
b)2.x^2+5.x=0
x^3.(2+5)=0
x^3.7=0
x^3=0:7
x^3=0
x=0
c)x^2+1=0
x^2=0-1
x^2=(-1)
x ko thỏa mãn
d)x^2-1=0
x^2=0+1
x^2=1
x=1 hoặc x=(-1)
e)x.(x-3)-x+3=0
Mình ko bt xin lỗi
g)x^2.(x+2)-9.x-18=0
x^2.(x+2)-9.x=0+18
x^2.(x+2)-9.x=18
x^2.x+x^2.2-9.x=18
Mk chỉ giải đc đến đây thôi. Xin lỗi!
\(a)\dfrac{-4}{9}-\dfrac{5}{9}:x=\dfrac{1}{18}\)
\(\Leftrightarrow\dfrac{5}{9}:x=\dfrac{-8}{18}+\dfrac{-1}{18}\)
\(\Leftrightarrow\dfrac{5}{9}:x=\dfrac{-1}{2}\)
\(\Leftrightarrow x=\dfrac{5}{9}.\left(-2\right)\)
\(\Leftrightarrow x=\dfrac{-10}{9}\)
\(b)\left|x\right|=\dfrac{1}{2}\)
\(\Leftrightarrow x\in\left\{-\dfrac{1}{2};\dfrac{1}{2}\right\}\)
\(c)x\left(x-\dfrac{1}{3}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-\dfrac{1}{3}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\end{matrix}\right.\)
\(\Leftrightarrow x\in\left\{0;\dfrac{1}{3}\right\}\)
a) x=\(\dfrac{-10}{9}\)
b)x∈{\(\dfrac{1}{2}\); \(\dfrac{-1}{2}\)}
a: =>2/3-1/3x+1/2-x-1/2=5
=>-4/3x+2/3=5
=>-4/3x=13/3
=>x=-13/4
b: \(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\x-\dfrac{3}{4}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{3}{4}\end{matrix}\right.\)
c: =>1/3x+3/5x+3/5=0
=>14/15x=-3/5
=>x=-3/5:14/15=-3/5x15/14=-45/70=-9/14
d: =>x>8/2
e: =>x:1/45=1/2
=>x=1/90
g: =>1/2:x=-2/15
=>x=-1/2:2/15=-15/4
a: (x-1)(x-2)>0
=>x-2>0 hoặc x-1<0
=>x>2 hoặc x<1
b: \(\left(x-2\right)^2\cdot\left(x+1\right)\left(x-4\right)< 0\)
=>(x+1)(x-4)<0
=>-1<x<4
c: \(\dfrac{x^2\left(x-3\right)}{x-9}< 0\)
=>x-3/x-9<0
=>3<x<9
\(a,\Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\\ b,\Rightarrow x^2=-1\left(vô.lí\right)\Rightarrow x\in\varnothing\\ c,\Rightarrow\left[{}\begin{matrix}x=\sqrt{2}\\x=-\sqrt{2}\end{matrix}\right.\\ d,\Rightarrow x^2=3\Rightarrow\left[{}\begin{matrix}x=\sqrt{3}\\x=-\sqrt{3}\end{matrix}\right.\)
a) \(\Rightarrow\left(x-3\right)\left(x+3\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
b) \(x^2+1=0\)
\(\Rightarrow x^2=-1\left(VLý.do.x^2\ge0\forall x\right)\)
Vậy \(S=\varnothing\)
c) \(\Rightarrow x=\pm\sqrt{2}\)
d) \(\Rightarrow x^2=3\Rightarrow x=\pm\sqrt{3}\)