JeraS686637 JeraS686637
  • 31-10-2022
  • Mathematics
contestada

If 2i is a zero of f(x)=x^4+x^2+a, find the value of a. Then find the other 3 solutions.

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RosilynZ766512 RosilynZ766512
  • 31-10-2022

i^4 = 1

i^2 = -1

If 2i is a zero:

[tex](2i)^4+(2i)^2+a=0[/tex][tex]2^4\times i^4+2^2\times i^2+a=0[/tex][tex]16\text{ - 4 = a}[/tex][tex]a=12[/tex]

So the equation is going to be:

[tex]f(x)=x^4+x^2+12[/tex]

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