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If the equation z 3 +(3+i)z 2 -3z- (m+i)=0, where m is a real number, has at least one real root, then m can have the value equal to Answer: 1 or 5

If the equation z+(3+i)z2-3z- (m+i)=0, where m is a real number, has at least one real root, then m can have the value equal to


Answer: 1 or 5 

Grade:11

2 Answers

Ravi
askIITians Faculty 69 Points
6 years ago
Let a,b,c be the roots.
If a is real, (b,c are conjugates)
a+b+c=3+i
abc=m+i
ab+bc+ca=-3

Use this information and solve for m.
........................................................................................................................................
mycroft holmes
272 Points
6 years ago
Solution:

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