Tìm x a/ x( $x^{2}$ + 4) = 0 b/ (3x – 2)( 4 + 7x) = 0 c/ $x^{2}$ – 8x = 0
2 câu trả lời
Đáp án:
a, `x(x^2+4)=0`
`⇒`\(\left[ \begin{array}{l}x=0\\x^2+4=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=0\\x^2=0-4\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=0\\x^2=-4 (loại)\end{array} \right.\)
Vậy `x= 0`
b, `(3x – 2)( 4 + 7x) = 0`
`⇒`\(\left[ \begin{array}{l}3x – 2=0\\4 + 7x = 0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}3x=2\\7x=-4\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=\dfrac{2}{3}\\x=\dfrac{-4}{7}\end{array} \right.\)
Vậy `x∈{2/3 ; -4/7}`
c, `x^2-8x=0`
`⇒x(x-8)=0`
`⇒`\(\left[ \begin{array}{l}x=0\\x-8=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=0\\x=0+8\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=0\\x=8\end{array} \right.\)
Vậy `x∈{0;8}`
`#Hien`
Giải thích các bước giải:
`a, x(x^2 + 4) = 0`
`->` $\left[\begin{matrix} x=0\\ x^2 + 4=0\end{matrix}\right.$
`->` $\left[\begin{matrix} x=0\\ x^2 =-4\text{ loại}\end{matrix}\right.$
`-> x = 0`
Vậy `x = 0`
`b, (3x - 2)(4 + 7x) = 0`
`->` $\left[\begin{matrix} 3x-2=0\\ 4+7x=0\end{matrix}\right.$
`->` $\left[\begin{matrix} x=\frac{2}{3}\\ x=\frac{-4}{7}\end{matrix}\right.$
Vậy $\left[\begin{matrix} x=\frac{2}{3}\\ x=\frac{-4}{7}\end{matrix}\right.$
`c, x^2 - 8x = 0`
`-> x(x - 8) = 0`
`->` $\left[\begin{matrix} x=0\\ x-8=0\end{matrix}\right.$
`->` $\left[\begin{matrix} x=0\\ x=8\end{matrix}\right.$
Vậy $\left[\begin{matrix} x=0\\ x=8\end{matrix}\right.$