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

Practice Questions

Q1
The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
  1. 10
  2. 7
  3. 5
  4. 3

Questions & Step-by-Step Solutions

The sum of the roots of the quadratic equation x^2 - 7x + 10 = 0 is:
Correct Answer: 7
  • Step 1: Identify the coefficients of the quadratic equation. The equation is x^2 - 7x + 10 = 0. Here, 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. We have -(-7)/1.
  • Step 4: Simplify the expression. This becomes 7/1.
  • Step 5: Calculate 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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