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Moderate

Two Parabolas

ACTMAT-KIKGOE

Which of the following real values of x are solutions to the system:

$$ \begin{cases} { y }^{ 2 }=x \\\ { x }^{ 2 }=y \end{cases} $$

A

$\text{x = 0 only}$

B

$\text{x = 1 only}$

C

$\text{x = -1, 0, and 1}$

D

$x = \pm 1 \text{ only}$

E

$\text{x = 0 or 1 only}$