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Q1. What is the product of the roots of the quadratic equation x^2 + 5x + 6 = 0?
Solution:
Step 1: Use the product of roots formula c/a. Here, c = 6, a = 1. Step 2: Product = 6/1 = 6.
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Q2. What is the slope of the line represented by the equation 4x - 2y = 8?
Solution:
Rearranging to slope-intercept form: y = 2x - 4. The slope is 2.
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Q3. What is the solution to the system of equations: 2x + y = 10 and x - y = 2?
Solution:
From x - y = 2, we get y = x - 2. Substituting into the first equation gives x = 4, y = 2.
