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If the roots of the equation x^2 - 10x + k = 0 are 5 and 5, what is the value of

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Question: If the roots of the equation x^2 - 10x + k = 0 are 5 and 5, what is the value of k?

Options:

  1. 25
  2. 20
  3. 15
  4. 10

Correct Answer: 25

Solution:

The product of the roots is 5*5 = 25, hence k = 25.

If the roots of the equation x^2 - 10x + k = 0 are 5 and 5, what is the value of

Practice Questions

Q1
If the roots of the equation x^2 - 10x + k = 0 are 5 and 5, what is the value of k?
  1. 25
  2. 20
  3. 15
  4. 10

Questions & Step-by-Step Solutions

If the roots of the equation x^2 - 10x + k = 0 are 5 and 5, what is the value of k?
  • Quadratic Equations – Understanding the relationship between the coefficients of a quadratic equation and its roots, specifically using Vieta's formulas.
  • Roots of Equations – Identifying and calculating the roots of a quadratic equation, especially when they are repeated.
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