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What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
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Q1
What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
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The sum of the roots is given by -b/a = 5/1 = 5.
Questions & Step-by-step Solutions
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Q: What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
Solution:
The sum of the roots is given by -b/a = 5/1 = 5.
Steps: 5
Show Steps
Step 1: Identify the coefficients of the quadratic equation. In the equation x^2 - 5x + 6 = 0, the coefficients are: a = 1, b = -5, and c = 6.
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 = -5 and a = 1.
Step 4: Calculate -b/a. This means you take -(-5) / 1, which simplifies to 5 / 1.
Step 5: The result of the calculation is 5, which is the sum of the roots.
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