Question

Find all the zeroes of the equation. –3x4+ 27x2 + 1200 = 0

Answer 1

Answer:

x = ±5, x = ±4i

Step-by-step explanation:

-3x⁴ + 27x² + 1200 = 0

Divide both sides by -3.

x⁴ − 9x² − 400 = 0

Factor using AC method.

(x² − 25) (x² + 16) = 0

Set each factor to 0.

x² − 25 = 0, x² + 16 = 0

Solve for x.

x² = 25, x² = -16

x = ±5, x = ±4i