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adichy
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Homework Statement
A (complex) solution to the quadratic equation of the form
z^2 + α z + β = 0, is z = 1 + i.
(where α and β are real numerical constants),
Write down the other solution and hence determine the values of α and β.
Homework Equations
The Attempt at a Solution
this question had me staring at it for a while since it has 2 unknown. I am thinking that i have to use some kind of simultaneous equation method but i don't have 2 equations.
How do i get rid of one of the unknowns or is there another way to solving this
i still got it wrong not sure what it is i did wong but here's what i did
z=1+i , z=1-i
a=α and B=β
therefore
(1+i)^2 +a(1+i)+B=(1-i)^2 +a(1-i)+B
(1+i)^2 - (1-i)^2= a(1-i) - a(1+i)
4i+2i^2=-2ai
2i(2+i)=-2ai
a=-2-i
question asks for a real solution my 1s still imaginary :|
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