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Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
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Q1
Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
8
6
4
2
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The product of the roots is given by c/a = 8/1 = 8.
Questions & Step-by-step Solutions
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Q
Q: Determine the product of the roots of the equation x² + 6x + 8 = 0. (2023)
Solution:
The product of the roots is given by c/a = 8/1 = 8.
Steps: 5
Show Steps
Step 1: Identify the coefficients in the quadratic equation x² + 6x + 8 = 0. Here, a = 1, b = 6, and c = 8.
Step 2: Use the formula for the product of the roots of a quadratic equation, which is given by c/a.
Step 3: Substitute the values of c and a into the formula: c = 8 and a = 1.
Step 4: Calculate the product of the roots: 8 / 1 = 8.
Step 5: Conclude that the product of the roots of the equation is 8.
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