?

Free Version
Difficult

# Solving a Quartic

ACTMAT-KNOF78

Which of the following represents all of the real solutions to the equation:

$${ ({ x }^{ 2 }-5) }^{ 2 }-3({ x }^{ 2 }-5)-4=0$$

A

$\text{-1 or 4}$

B

$\pm 3 \text{ only}$

C

$\pm 3 \text{ or }\pm \sqrt { 6 }$

D

$\pm 1 \text{ or } \pm \sqrt { 6 }$

E

$3 \text{ or } \sqrt { 6 }$