My Learning Cart
?
Categories
Account

If x^2 - 5x + 6 = 0, what are the values of x? (2019)

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If x^2 - 5x + 6 = 0, what are the values of x? (2019)

Options:

  1. 2, 3
  2. 1, 6
  3. 3, 2
  4. 0, 6

Correct Answer: 2, 3

Exam Year: 2019

Solution: 

Factoring gives (x - 2)(x - 3) = 0, so x = 2 or x = 3.

If x^2 - 5x + 6 = 0, what are the values of x? (2019)

Practice Questions

Q1
If x^2 - 5x + 6 = 0, what are the values of x? (2019)
  1. 2, 3
  2. 1, 6
  3. 3, 2
  4. 0, 6

Questions & Step-by-Step Solutions

If x^2 - 5x + 6 = 0, what are the values of x? (2019)
  • Step 1: Start with the equation x^2 - 5x + 6 = 0.
  • Step 2: Look for two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of x).
  • Step 3: The numbers -2 and -3 work because -2 * -3 = 6 and -2 + -3 = -5.
  • Step 4: Rewrite the equation using these numbers: (x - 2)(x - 3) = 0.
  • Step 5: Set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
  • Step 6: Solve for x in each equation: x = 2 and x = 3.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation using factoring.
  • Factoring – The solution requires recognizing how to factor a quadratic expression into binomials.
  • Roots of Equations – The question assesses understanding of finding the roots of a polynomial equation.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks