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What are the solutions to the equation x^2 - 10x + 21 = 0?

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Question: What are the solutions to the equation x^2 - 10x + 21 = 0?

Options:

  1. x = 3, 7
  2. x = -3, -7
  3. x = 1, 21
  4. x = 0, 10

Correct Answer: x = 3, 7

Solution: 

Factoring gives (x - 3)(x - 7) = 0. Thus, the solutions are x = 3 and x = 7.

What are the solutions to the equation x^2 - 10x + 21 = 0?

Practice Questions

Q1
What are the solutions to the equation x^2 - 10x + 21 = 0?
  1. x = 3, 7
  2. x = -3, -7
  3. x = 1, 21
  4. x = 0, 10

Questions & Step-by-Step Solutions

What are the solutions to the equation x^2 - 10x + 21 = 0?
  • Quadratic Equations – The question tests the ability to solve a quadratic equation using factoring.
  • Factoring – The solution requires knowledge of how to factor a quadratic expression.
  • Zero Product Property – Understanding that if the product of two factors equals zero, at least one of the factors must be zero.
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