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What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?

Practice Questions

Q1
What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?
Correct Answer: 4
  • Step 1: Identify the coefficients of the quadratic equation. The equation is x^2 - 4x + 3 = 0. Here, a = 1, b = -4, and c = 3.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 3: Substitute the values of b and a into the formula. We have -(-4)/1.
  • Step 4: Simplify the expression. This becomes 4/1.
  • Step 5: Calculate the result. 4/1 equals 4.
  • Step 6: Conclude that the sum of the roots of the equation is 4.
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