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0 votes
6.6k views
in Complex number and Quadratic equations by (52.7k points)

The sum of all the values of m for which the roots x1 and x2 of the quadratic equation x2 − 2mx + m = 0 satisfy the condition x33 + x22 = x21  +  x22 is

(A)  3/4

(B) 1

(C)  9/4

(D)  5/4

1 Answer

+1 vote
by (46.6k points)
selected by
 
Best answer

Correct option (D) 5/4

Given x1 + x2 = 2m, x1x2 = m 

According to given condition

Clearly sum is 5/4.

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