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ACT® Math

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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 } $