Consider the quadratic equation (x - 9)(2x + 10) = 0. According to the Zero Product Property, the solutions for x are _______.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of the Zero Product Property and their ability to solve for the roots of a quadratic equation. The equation is provided in factored form, and students need to set each factor equal to zero and solve for .
Key Concept Explanation
The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero. Here, the factors are and .
Step-by-step Solution
1. Set each factor equal to zero: and .
2. Solve the first equation: .
Add 9 to both sides:
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