So the question is. w = 1 + 2i
given that w is a root of the equation z^4 + pz^3 + qz^2 - 6z + 65 = 0, find the values of p and q
#Quartic complex number solving question please help aaaa
fleet thicket
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So the question is. w = 1 + 2i
given that w is a root of the equation z^4 + pz^...
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novel kernel
So the question is. w = 1 + 2i
given that w is a root of the equation z^4 + pz^...
hmm, there are many possible answers
glad kestrel
definition of root you can plug it into the equation
and since thers two variables for one equation... many answers
novel kernel
though if p,q are assumed to be real, maybe only one
so yeah i guess plug in and grind out the expansion
wicked ivy
So the question is. w = 1 + 2i
given that w is a root of the equation z^4 + pz^...
is that "z⁴ = ..." or you've mistyped the equal sign it should be an operator?
fleet thicket
is that "z⁴ = ..." or you've mistyped the equal sign it should be an operator?
oh my im sorry yes its meant to be +
yeah i should plug in the solutions i have which I did
but i dont know how to go from there
because i cant long algebraic divide because of the unkwon p and q
glad kestrel
oh once you’re done expanding separate the constants and imaginary parts