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

Question

Ravi · Answer

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 · Answer

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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 z³+(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

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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 z3 +(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 toAnswer: 1 or 5

2 Answers

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Other Related Questions on Algebra

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If the equation z³+(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