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If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of
If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of p?
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If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of p?
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The sum of the roots is p = 3 + 4 = 7.
Questions & Step-by-step Solutions
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Q: If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of p?
Solution:
The sum of the roots is p = 3 + 4 = 7.
Steps: 5
Show Steps
Step 1: Identify the roots of the equation. The roots given are 3 and 4.
Step 2: Recall that for a quadratic equation of the form x^2 - px + q = 0, the sum of the roots is equal to p.
Step 3: Calculate the sum of the roots: 3 + 4.
Step 4: Add the numbers: 3 + 4 = 7.
Step 5: Conclude that the value of p is 7.
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