My Learning Cart
?
Categories
Account

If a + b = 5 and ab = 6, what is the value of a² + b²?

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

What’s inside this PDF?

Question: If a + b = 5 and ab = 6, what is the value of a² + b²?

Options:

  1. 7
  2. 11
  3. 25
  4. 19

Correct Answer: 11

Solution: 

a² + b² = (a + b)² - 2ab = 5² - 2*6 = 25 - 12 = 13.

If a + b = 5 and ab = 6, what is the value of a² + b²?

Practice Questions

Q1
If a + b = 5 and ab = 6, what is the value of a² + b²?
  1. 7
  2. 11
  3. 25
  4. 19

Questions & Step-by-Step Solutions

If a + b = 5 and ab = 6, what is the value of a² + b²?
  • Step 1: We are given two equations: a + b = 5 and ab = 6.
  • Step 2: We need to find the value of a² + b².
  • Step 3: We can use the formula a² + b² = (a + b)² - 2ab.
  • Step 4: Substitute the value of a + b into the formula: (5)².
  • Step 5: Calculate (5)², which is 25.
  • Step 6: Now substitute the value of ab into the formula: 2 * 6.
  • Step 7: Calculate 2 * 6, which is 12.
  • Step 8: Now we have a² + b² = 25 - 12.
  • Step 9: Calculate 25 - 12, which is 13.
  • Step 10: Therefore, the value of a² + b² is 13.
  • Algebraic Identities – Understanding the identity a² + b² = (a + b)² - 2ab to simplify expressions involving sums and products of variables.
  • Quadratic Relationships – Recognizing the relationship between the sum and product of two numbers and how they relate to their squares.
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