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What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

Practice Questions

Q1
What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?
  • Step 1: Identify the coefficients of the quadratic equation. In the equation x^2 - 7x + 10 = 0, the coefficients are: a = 1, b = -7, and c = 10.
  • 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. Here, b = -7 and a = 1.
  • Step 4: Calculate -b/a. This means you take -(-7) divided by 1, which is 7/1.
  • Step 5: Simplify the result. 7/1 equals 7.
  • Step 6: Conclude that the sum of the roots of the quadratic equation is 7.
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