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find all the zeroes of the equation.

–3x4+ 27x2 + 1200 = 0

Values of x are 4i, -4i, 5 and -5

Step-by-step explanation:

We need to find all the zeros (roots) of the above equation.

Let assume that x^4 = u^2 and x^2 = u

Putting values of x^4 and x^2 in the above equation and finding the value of u.

So, values of u are -16 and 25

Putting back the value of u i.e, x^2

x^2 = -16 and x^2 =25

solving

Taking square root on both sides:

√x^2 =√-16 and √x^2 = √25

x = ± 4i (as √-1 =i) and x = ±5

So, values of x are 4i, -4i, 5 and -5.

no not all of them.

step-by-step explanation:

some of them have a square base.