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ACT® Math

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Moderate

Solving a Quadratic

ACTMAT-J0TS4E

For which values of $x$ does:

$$ 3{ x }^{ 2 }-4x=-8 $$

A

$ \cfrac { -2\pm 2i\sqrt { 5 } }{ 3 } $

B

$ \cfrac { 2\pm 4i\sqrt { 5 } }{ 3 } $

C

$ \cfrac { 2\pm 2\sqrt { 7 } }{ 3 } $

D

$ \cfrac { 2\pm 2i\sqrt { 5 } }{ 3 } $

E

$ \cfrac { -2\pm 2\sqrt { 7 } }{ 3 } $