My Learning Cart
?
Categories
Account

If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)

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

What’s inside this PDF?

Question: If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)

Options:

  1. 6
  2. 5
  3. 7
  4. 8

Correct Answer: 6

Exam Year: 2020

Solution: 

Using the product of roots: k = (-2)(-3) = 6.

If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)

Practice Questions

Q1
If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)
  1. 6
  2. 5
  3. 7
  4. 8

Questions & Step-by-Step Solutions

If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)
  • Step 1: Identify the equation given, which is x² + 5x + k = 0.
  • Step 2: Recognize that the roots of the equation are given as -2 and -3.
  • Step 3: Recall the property of quadratic equations that states the product of the roots (r1 and r2) is equal to k.
  • Step 4: Calculate the product of the roots: (-2) * (-3).
  • Step 5: Perform the multiplication: -2 * -3 = 6.
  • Step 6: Conclude that k = 6.
  • Quadratic Equations – Understanding the relationship between the coefficients and the roots of a quadratic equation.
  • Vieta's Formulas – Using Vieta's formulas to relate the sum and product of the roots to the coefficients of the polynomial.
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