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What are the roots of the quadratic equation x^2 - 4x - 5 = 0?

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Question: What are the roots of the quadratic equation x^2 - 4x - 5 = 0?

Options:

  1. -1, 5
  2. 1, -5
  3. 5, -1
  4. 5, 1

Correct Answer: -1, 5

Solution: 

Step 1: Factor the equation: (x - 5)(x + 1) = 0. Step 2: Set each factor to zero: x - 5 = 0 or x + 1 = 0. Step 3: Roots are x = 5 and x = -1.

What are the roots of the quadratic equation x^2 - 4x - 5 = 0?

Practice Questions

Q1
What are the roots of the quadratic equation x^2 - 4x - 5 = 0?
  1. -1, 5
  2. 1, -5
  3. 5, -1
  4. 5, 1

Questions & Step-by-Step Solutions

What are the roots of the quadratic equation x^2 - 4x - 5 = 0?
  • Quadratic Equations – Understanding how to solve quadratic equations using factoring.
  • Factoring – Recognizing how to factor a quadratic expression into two binomials.
  • Finding Roots – Setting factors equal to zero to find the roots of the equation.
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