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What is the value of k if the equation x^2 + kx + 16 = 0 has one real solution?

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Question: What is the value of k if the equation x^2 + kx + 16 = 0 has one real solution?

Options:

  1. k = 8
  2. k = -8
  3. k = 0
  4. k = 4

Correct Answer: k = -8

Solution:

For one real solution, the discriminant must be zero: k^2 - 4(1)(16) = 0. Thus, k^2 = 64, so k = ±8.

What is the value of k if the equation x^2 + kx + 16 = 0 has one real solution?

Practice Questions

Q1
What is the value of k if the equation x^2 + kx + 16 = 0 has one real solution?
  1. k = 8
  2. k = -8
  3. k = 0
  4. k = 4

Questions & Step-by-Step Solutions

What is the value of k if the equation x^2 + kx + 16 = 0 has one real solution?
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