Bài 5: Tìm x, biết:
a) 2/3x (x ² – 4) = 0
b) x ² – 3x = 0
c) x ² – 25 = 0
Bài 5: Tìm x, biết: a) 2/3x (x ² – 4) = 0 b) x ² – 3x = 0 c) x ² – 25 = 0
By Ximena
By Ximena
Bài 5: Tìm x, biết:
a) 2/3x (x ² – 4) = 0
b) x ² – 3x = 0
c) x ² – 25 = 0
a) $\dfrac{2}{3}x(x^2-4)=0$
\(↔\left[ \begin{array}{l}\dfrac{2}{3}x=0\\x^2-4=0\end{array} \right.\)
\(↔\left[ \begin{array}{l}x=0\\x^2=4\end{array} \right.\)
\(↔\left[ \begin{array}{l}x=0\\x=2;-2\end{array} \right.\)
Vậy $x=\{0;2;-2\}$
b) $x^2-3x=0$
$↔x(x-3)=0$
\(↔\left[ \begin{array}{l}x=0\\x-3=0\end{array} \right.\)
\(↔\left[ \begin{array}{l}x=0\\x=3\end{array} \right.\)
Vậy $x=\{0;3\}$
c) $x^2-25=0$
$↔x^2-5^2=0$
$↔(x-5)(x+5)=0$
\(↔\left[ \begin{array}{l}x-5=0\\x+5=0\end{array} \right.\)
\(↔\left[ \begin{array}{l}x=5\\x=-5\end{array} \right.\)
Vậy $x=\{5;-5\}$
a) `2/3x(x^2-4)=0`
`⇒2/3x(x-2)(x+2)=0`
\(⇒\left[ \begin{array}{l}x=0\\x-2=0\\x+2=0\end{array} \right.\)
\(⇒\left[ \begin{array}{l}x=0\\x=2\\x=-2\end{array} \right.\)
Vậy `x=0; ±2`
b) `x^2-3x=0`
`x(x-3)=0`
\(⇒\left[ \begin{array}{l}x=0\\x-3=0⇒x=3\end{array} \right.\)
Vậy `x=0; 3`
c) `x^2-25=0`
`⇒(x-5)(x+5)=0`
\(⇒\left[ \begin{array}{l}x-5=0\\x+5=0\end{array} \right.\)
\(⇒\left[ \begin{array}{l}x=5\\x=-5\end{array} \right.\)
Vậy `x=±5`