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b: \(\Leftrightarrow\left(x-5\right)\left(x+1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=1\\x=-1\end{matrix}\right.\)
c: \(\Leftrightarrow\left(x-1\right)\left(x-5\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=5\\x=-5\end{matrix}\right.\)
Tìm x:
a) x3 +3x2 - 10x = 0
b) x3 - 5x2 - 14x =0
c) x3 + 5x2- 24x =0
Giải giúp mình với ạ !
Mình cảm ơn !
x3+3x2-10x=0
=>x(3+3.2-10)=0
=>x=0
x3-5x2-14x=0
=>x(3-5.2-14)=0
=>x=0
x3+5x2-24x=0
=>x(3+5.2-24)=0
=>x=0
Câu a)
\(x^3+3x^2-10=0\Rightarrow x\left(x^2+3x-10\right)=0\Rightarrow x\left(x^2-2x+5x-10\right)=0\Rightarrow x\left(x\left(x-2\right)+5\left(x-2\right)\right)=0\Rightarrow x\left(x+5\right)\left(x-2\right)=0\)
\(\Rightarrow x=0;x=5;x=2\)
a) \(5x\left(x-2000\right)-x+2000=0\)
\(\Leftrightarrow5x\left(x-2000\right)-\left(x-2000\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-2000\right)=0\)
\(\Leftrightarrow x\in\left\{\frac{1}{5};2000\right\}\)
a) \(5x\left(x-2000\right)-x+2000=0\)
\(\Leftrightarrow5x\left(x-2000\right)-\left(x-2000\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-2000\right)=0\)
\(\Leftrightarrow x\in\left\{\frac{1}{5};2000\right\}\)
\(x^3-5x^2+6x=0\)
\(\Leftrightarrow\)\(\left(x-3\right)\left(x-2\right)=0\)
\(\Leftrightarrow\)x=3;x=2
Vậy S={3;2}
x3-5x2+6x=0
=>x(x2-5x+6)=0
=>x=0 hoặc x2-5x+6=0
=>x(x-5+6)=0
=>x-5+6=0
=>x-5=-6
=>x=-1
Vậy x =0 hoặc x =-1
\(\Leftrightarrow\left(x-5\right)\left(x-1\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=1\\x=-1\end{matrix}\right.\)
\(\Leftrightarrow x^2\left(x-5\right)-\left(x-5\right)=0\\ \Leftrightarrow\left(x^2-1\right)\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-1\\x=1\\x=5\end{matrix}\right.\)