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If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of
If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of p?
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Q1
If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of p?
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The sum of the roots is 0, hence p = -sum = 0.
Questions & Step-by-step Solutions
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Q: If the roots of the equation x^2 + px + q = 0 are 1 and -1, what is the value of p?
Solution:
The sum of the roots is 0, hence p = -sum = 0.
Steps: 4
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Step 1: Identify the roots of the equation. The roots given are 1 and -1.
Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -p. The sum of the roots (1 + (-1)) is 0.
Step 3: Set up the equation based on the sum of the roots: -p = 0.
Step 4: Solve for p. If -p = 0, then p must be 0.
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