How do I solve this complex equation?

I have to solve the equation 4Z^4-11Z^2+7-3i=0, where Z is a complex number

My thoughts are to do this:

p=[4,0,-11,0,7-3i]
roots(p)

However, the answer I get is different from the actual answer, which is

2.4849+0.1552i
0.9924-0.2898i
-0.7273+0.1347i

Any help is appreciated!

Answer 1

[madhan ravi]

I believe you are getting the correct answer

% method 1
syms Z
eqn=4*Z^4-11*Z^2+7-3i==0;
Root=vpasolve(eqn)
% method 2
roots(sym2poly(eqn))

[James Yang]

These are my answers:

1.4438 + 0.1932i

0.8945 - 0.3118i

-1.4438 - 0.1932i

-0.8945 + 0.3118i

Is this what you got as well?

Is the answer key wrong then?

[madhan ravi]

yes that's the answer I got