Q182 / 270 · NDA 2023 (Phase 2) · Mathematics

Consider the equation $(1-x)^4+(5-x)^4=82$ What is the sum of all the roots of the equation?

A
24
Correct answer
B
12
C
10
D
6

Solution

Since, sum of all roots = 4 + 2 + 3 – 5i + 3 + 5i = 12

Hence, the correct answer is option: 'B'.

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