Find all the zeros of the equation. need finding the zeros.

-3 x^{4} } +27 x^{2} +1200=0

Step-by-step explanation:

We have the equation

Since it is a polynomial of degree 4, to solve it we must use the ruffini method, as shown below.

We start by testing with x = 5 that it is a multiple of 1200.

   -3      0      27      0      1200

5         -15     -75   -240  -1200

--------------------------------------------------

   -3    -15     -48   -240       0

x = 5 is a root of the polynomial

Now we try with x = -5

      -3    -15     -48   -240

-5            15       0     240

---------------------------------------------

      -3      0      -48      0

x = -5 is a root of the polynomial

Then we have the following polynomial

this polynomial has no real roots

Then we have left:

And the zeros of the polynomial are:

take it another