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In a quadratic equation ax² + bx + c = 0, if a = 1, b = -6, and c = 8, what is t

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Question: In a quadratic equation ax² + bx + c = 0, if a = 1, b = -6, and c = 8, what is the sum of the roots?

Options:

  1. 6
  2. 8
  3. 4
  4. 12

Correct Answer: 6

Solution: 

The sum of the roots of a quadratic equation is given by -b/a. Here, -(-6)/1 = 6.

In a quadratic equation ax² + bx + c = 0, if a = 1, b = -6, and c = 8, what is t

Practice Questions

Q1
In a quadratic equation ax² + bx + c = 0, if a = 1, b = -6, and c = 8, what is the sum of the roots?
  1. 6
  2. 8
  3. 4
  4. 12

Questions & Step-by-Step Solutions

In a quadratic equation ax² + bx + c = 0, if a = 1, b = -6, and c = 8, what is the sum of the roots?
  • Step 1: Identify the coefficients from the quadratic equation ax² + bx + c = 0. Here, a = 1, b = -6, and c = 8.
  • Step 2: Recall 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 b = -6 and a = 1.
  • Step 4: Calculate -(-6)/1. This simplifies to 6/1.
  • Step 5: The result is 6, which is the sum of the roots.
  • Quadratic Equations – Understanding the standard form of a quadratic equation and the relationship between coefficients and roots.
  • Sum of Roots Formula – Applying the formula for the sum of the roots, which is -b/a, to find the sum based on given coefficients.
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