Decide whether or not the equations are equivalent.
-$\begin{array} { l }
x = - 2 \
x ^ { 2 } = 4
\end{array}$
A) Not equivalent
B) Equivalent

Question

Decide whether or not the equations are equivalent.
-$\begin{array} { l } 
x = - 2 \
x ^ { 2 } = 4
\end{array}$
A) Not equivalent
B) Equivalent

Quizplus · Accepted Answer

The first equation, $x = -2$, specifies a single value for $x$, while the second equation, $x^2 = 4$, has two solutions: $x = 2$ and $x = -2$. Since the second equation includes an additional solution not specified by the first, the equations are not equivalent.

Decide Whether or Not the Equations Are Equivalent x=−2x2=4\begin{array} { l } x = - 2 \\x ^ { 2 } = 4\end{array}x=−2x2=4​

Decide Whether or Not the Equations Are Equivalent $\begin{array} { l } x = - 2 \\x ^ { 2 } = 4\end{array}$