Question #6446562Fill 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 complex solutions using the quadratic formula. The key is to correctly identify the coefficients and apply the formula, recognizing that the discriminant is negative, leading to complex solutions.
This question tests the student's ability to solve a quadratic equation with complex solutions using the quadratic formula. The key is to correctly identify the coefficients and apply the formula, recognizing that the discriminant is negative, leading to complex solutions.
Key Concept Explanation
When the discriminant of a quadratic equation is negative, the solutions are complex numbers involving the imaginary unit . The quadratic formula is used to find these solutions.
When the discriminant of a quadratic equation is negative, the solutions are complex numbers involving the imaginary unit . The quadratic formula is used to find these solutions.
Step-by-step Solution
1. Identify the coefficients: , , .
2. Calculate the discriminant:
1. Identify the coefficients: , , .
2. Calculate the discriminant:
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