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If one root of quadratic equation x - 5x + c = 0 is square of other, then the value of c2 + 16c is?
  • a)
    125
  • b)
    25
  • c)
    2 + 16√2
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If one root of quadratic equation x - 5x + c = 0 is square of other,...
Let α and α2 be the roots of the given quadratic equation
∴ α + α2 = 5 and α3 = c
Now, (α + α2)3 = (5)3
⇒ α3 + α6 + 3α3(α + α2) = 125
⇒ c + c2 + 15c =125
∴ c2 + 16c = 125
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If one root of quadratic equation x - 5x + c = 0 is square of other, then the value of c2 + 16c is?a)125b)25c)2 + 16√2d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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