Question #6446110Fill in the Blank
Algebra-1
Question
Solve the quadratic equation . The solutions are ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a quadratic equation by factoring when all three coefficients are non-zero.
Key Concept Explanation
Factoring a quadratic equation involves rewriting it as a product of two binomials. The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.
Step-by-step Solution
1. For , find two numbers with a product of 18 and a sum of 11. These numbers are 2 and 9 (since and ).
2. Factor the quadratic expression:
This question tests the student's ability to solve a quadratic equation by factoring when all three coefficients are non-zero.
Key Concept Explanation
Factoring a quadratic equation involves rewriting it as a product of two binomials. The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.
Step-by-step Solution
1. For , find two numbers with a product of 18 and a sum of 11. These numbers are 2 and 9 (since and ).
2. Factor the quadratic expression:
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