Question #6446091Fill 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 with all three non-zero coefficients. The equation is factorable, and the solutions can be found by factoring and setting each factor to zero.
This question tests the student's ability to solve a quadratic equation with all three non-zero coefficients. The equation is factorable, and the solutions can be found by factoring and setting each factor to zero.
Key Concept Explanation
The key concept here is the factoring method for solving quadratic equations. The quadratic equation can be factored into two binomials, and the solutions are found by setting each binomial equal to zero.
The key concept here is the factoring method for solving quadratic equations. The quadratic equation can be factored into two binomials, and the solutions are found by setting each binomial equal to zero.
Step-by-step Solution
1. For , find two numbers with a product of and a sum of 9. These numbers are 4 and 5.
2. Rewrite the middle term: .
3. Group and factor:
1. For , find two numbers with a product of and a sum of 9. These numbers are 4 and 5.
2. Rewrite the middle term: .
3. Group and factor:
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