Question #6446086Fill in the Blank
Algebra-1
Question
Solve the equation . The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question involves solving a quadratic equation of the form , specifically . The main focus is on finding the roots of the equation using the factoring method, which requires rewriting the quadratic expression as a product of two binomials and then solving for x.
This question involves solving a quadratic equation of the form , specifically . The main focus is on finding the roots of the equation using the factoring method, which requires rewriting the quadratic expression as a product of two binomials and then solving for x.
Key Concept Explanation
Factoring a quadratic with a leading coefficient involves finding two numbers that multiply to ac and add to b. The equation is then factored into two binomials, and each binomial is set to zero to find the solutions.
Factoring a quadratic with a leading coefficient involves finding two numbers that multiply to ac and add to b. The equation is then factored into two binomials, and each binomial is set to zero to find the solutions.
Step-by-step Solution
1. For , find two numbers: product , sum 5 → 6 and .
2. Rewrite:
1. For , find two numbers: product , sum 5 → 6 and .
2. Rewrite:
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