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What are the roots of the equation 2x^2 + 3x - 2 = 0?

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Question: What are the roots of the equation 2x^2 + 3x - 2 = 0?

Options:

  1. x = 1, x = -2
  2. x = -1, x = 2
  3. x = 2, x = -1.5
  4. x = -2, x = 1.5

Correct Answer: x = 2, x = -1.5

Solution: 

Using the quadratic formula x = (-b ± √(b^2 - 4ac)) / 2a, where a = 2, b = 3, c = -2, we find the roots to be x = 2 and x = -1.5.

What are the roots of the equation 2x^2 + 3x - 2 = 0?

Practice Questions

Q1
What are the roots of the equation 2x^2 + 3x - 2 = 0?
  1. x = 1, x = -2
  2. x = -1, x = 2
  3. x = 2, x = -1.5
  4. x = -2, x = 1.5

Questions & Step-by-Step Solutions

What are the roots of the equation 2x^2 + 3x - 2 = 0?
  • Quadratic Equations – Understanding how to apply the quadratic formula to find the roots of a quadratic equation.
  • Discriminant – Recognizing the importance of the discriminant (b^2 - 4ac) in determining the nature of the roots.
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