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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2023 · Mathematics · Quadratic Equation

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

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

Options

  1. A24
  2. B12
  3. C10
  4. D6

Correct answer

B. 12

Step-by-step solution

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