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What is the value of k if x^2 + kx + 16 has roots 4 and -4?

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Question: What is the value of k if x^2 + kx + 16 has roots 4 and -4?

Options:

  1. -8
  2. 0
  3. 8
  4. 16

Correct Answer: -8

Solution:

Using Vieta\'s formulas, the sum of the roots is -k = 4 + (-4) = 0, so k = 0.

What is the value of k if x^2 + kx + 16 has roots 4 and -4?

Practice Questions

Q1
What is the value of k if x^2 + kx + 16 has roots 4 and -4?
  1. -8
  2. 0
  3. 8
  4. 16

Questions & Step-by-Step Solutions

What is the value of k if x^2 + kx + 16 has roots 4 and -4?
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