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If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of
If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?
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If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?
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According to Vieta's formulas, the sum of the roots p + q is equal to -(-5) = 5.
Questions & Step-by-step Solutions
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Q
Q: If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?
Solution:
According to Vieta's formulas, the sum of the roots p + q is equal to -(-5) = 5.
Steps: 6
Show Steps
Step 1: Identify the equation given, which is x^2 - 5x + 6 = 0.
Step 2: Recognize that this is a quadratic equation in the form of ax^2 + bx + c = 0.
Step 3: Identify the coefficients: a = 1, b = -5, and c = 6.
Step 4: Use Vieta's formulas, which state that for a quadratic equation, the sum of the roots (p + q) is equal to -b.
Step 5: Substitute the value of b into the formula: p + q = -(-5).
Step 6: Simplify the expression: p + q = 5.
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