Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
asked in Mathematics by (63.3k points)

If z1 , z2 ,z3 , z4 are roots of the equation a0z4 + a1z3 + a2z2 + a3z + a= 0, where a0 , a1 , a2 , a3 and a4 are real, then

(A)  bar (z1 , z2 , z3 , z4 are also roots of the equation 

(B)  z1 is equal to at least one of  bar (z2,  z3 , z4

(C)  bar(-z1 , -z2 ,- z3 , z4) are also roots of the equation

(D) None of the above.

1 Answer

+1 vote
answered by (68.5k points)
selected by
Best answer

Correct option (A)(B)


are the roots of the equation if z1 is real, then  bar z1 is also real and if  bar z1 is non real, then 1 z is also root because imaginary roots occur in conjugate pair.

Happy Diwali Wishes

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon