For this case we have the following polynomial:
[tex]-2x ^ 4 + 27x ^ 2 + 1200 = 0[/tex]
To solve the problem we apply the following steps:
1) We make a change of variables u = x ^ 2
2) We rewrite the polynomial
3) Solve the quadratic equation using the formula for the quadratic equation
4) We return the change and find four roots
Answer:
See attached image for procedure and solution