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What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
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Q1
What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
5
6
10
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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
Q: What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
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 f(x) = x^2 - 5x + 6. Here, 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: -(-5)/1.
Step 4: Simplify the expression: 5/1 = 5.
Step 5: Conclude that the sum of the roots is 5.
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