Question

25. Find all the zeroes of the equation.


27x2 – 324 = –x4
(1 point)–3, –6i
3, 6i
3, –3, 6i, –6i
3, –3, 6i, 0

Answer 1

@campbell_st

Answer 2

ok... so rewrite the equation

\[x^4 + 27x^2 - 324 = 0\]

Answer 3

ok... so this is an equation that can be treated as a quadratic

the factors of -324 that add to 27 are 26 and - 9

so you can factorise it to

\[(x^2 - 9)(x^2 + 36) = 0\]

so you need to solve

\[x^2 - 9 = 0\]

and

\[x^2 + 36 = 0\]

one zero is rational and one is complex

hope this helps

Answer 4

so my answer is C right?

Answer 5

yep... looks like it

Answer 6

thank u so much!!!