Question #6445986Fill in the Blank
Algebra-1
Question
Solve the quadratic equation . The solutions are __________.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to solve a quadratic equation when the independent term is zero. The equation is in the form , which can be factored to find the roots.
This question evaluates the student's ability to solve a quadratic equation when the independent term is zero. The equation is in the form , which can be factored to find the roots.
Key Concept Explanation
When the constant term (independent term) is zero, the quadratic equation can be factored by taking out the common factor, resulting in a product of two factors equal to zero. One root is always zero, and the other root is determined by the coefficients of the linear and quadratic terms.
When the constant term (independent term) is zero, the quadratic equation can be factored by taking out the common factor, resulting in a product of two factors equal to zero. One root is always zero, and the other root is determined by the coefficients of the linear and quadratic terms.
Step-by-step Solution
1. Start with the equation .
2. Factor out the common factor , resulting in
1. Start with the equation .
2. Factor out the common factor , resulting in
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