My Learning Cart
?
Categories
Account

If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value o

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

What’s inside this PDF?

Question: If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)

Options:

  1. 6
  2. 9
  3. 12
  4. 15

Correct Answer: 6

Exam Year: 2023

Solution: 

Using the root 3 in the equation: 3^2 - 7*3 + k = 0, we get k = 6.

If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value o

Practice Questions

Q1
If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)
  1. 6
  2. 9
  3. 12
  4. 15

Questions & Step-by-Step Solutions

If one root of the quadratic equation x^2 - 7x + k = 0 is 3, what is the value of k? (2023)
  • Step 1: Start with the quadratic equation: x^2 - 7x + k = 0.
  • Step 2: We know that one root of the equation is 3.
  • Step 3: Substitute 3 for x in the equation: 3^2 - 7*3 + k = 0.
  • Step 4: Calculate 3^2, which is 9.
  • Step 5: Calculate 7*3, which is 21.
  • Step 6: Now the equation looks like: 9 - 21 + k = 0.
  • Step 7: Simplify the left side: 9 - 21 equals -12, so we have -12 + k = 0.
  • Step 8: To find k, add 12 to both sides: k = 12.
  • Quadratic Equations – Understanding how to substitute a known root into a quadratic equation to find an unknown coefficient.
  • Substitution Method – Using substitution to solve for unknown variables in equations.
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