(x^2+3)^2 = 16 Giúp mik vs ạ mik dg gấp 19/08/2021 Bởi Jasmine (x^2+3)^2 = 16 Giúp mik vs ạ mik dg gấp
(x²+3)²=16 ⇒(x²+3)²=4² ⇒x²+3=4 ⇒x²=1 ⇒\(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\) Vậy x=±1 (Học tốt nhé!) Bình luận
Ta có : \(4^2 = (-4)^2 = 16\) $\begin{array}{l}{\left( {{x^2} + 3} \right)^2} = 16\\ \Rightarrow \left[ \begin{array}{l}{x^2} + 3 = 4\\{x^2} + 3 = – 4\end{array} \right. \Rightarrow \left[ \begin{array}{l}{x^2} = 4 – 3\\{x^2} = – 4 – 3\end{array} \right.\\ \Rightarrow \left[ \begin{array}{l}{x^2} = 1\\{x^2} = – 7\,\,(vo\,\,ly)\end{array} \right.\\ \Rightarrow {x^2} = 1\\ \Rightarrow \left[ \begin{array}{l}x = 1\\x = – 1\end{array} \right.\end{array}$ Bình luận
(x²+3)²=16
⇒(x²+3)²=4²
⇒x²+3=4
⇒x²=1
⇒\(\left[ \begin{array}{l}x=1\\x=-1\end{array} \right.\)
Vậy x=±1
(Học tốt nhé!)
Ta có : \(4^2 = (-4)^2 = 16\)
$\begin{array}{l}
{\left( {{x^2} + 3} \right)^2} = 16\\
\Rightarrow \left[ \begin{array}{l}
{x^2} + 3 = 4\\
{x^2} + 3 = – 4
\end{array} \right. \Rightarrow \left[ \begin{array}{l}
{x^2} = 4 – 3\\
{x^2} = – 4 – 3
\end{array} \right.\\
\Rightarrow \left[ \begin{array}{l}
{x^2} = 1\\
{x^2} = – 7\,\,(vo\,\,ly)
\end{array} \right.\\
\Rightarrow {x^2} = 1\\
\Rightarrow \left[ \begin{array}{l}
x = 1\\
x = – 1
\end{array} \right.
\end{array}$