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What is the value of k if the equation 2x^2 + kx + 3 = 0 has one solution?

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Question: What is the value of k if the equation 2x^2 + kx + 3 = 0 has one solution?

Options:

  1. -6
  2. -4
  3. 4
  4. 6

Correct Answer: -4

Solution:

For one solution, the discriminant must be zero: k^2 - 4(2)(3) = 0. Thus, k^2 = 24, so k = ±√24 = ±2√6. The integer value is -4.

What is the value of k if the equation 2x^2 + kx + 3 = 0 has one solution?

Practice Questions

Q1
What is the value of k if the equation 2x^2 + kx + 3 = 0 has one solution?
  1. -6
  2. -4
  3. 4
  4. 6

Questions & Step-by-Step Solutions

What is the value of k if the equation 2x^2 + kx + 3 = 0 has one solution?
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