Question #6446554Fill 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. The discriminant is negative, indicating that the solutions will involve the imaginary unit .
This question tests the student's ability to solve a quadratic equation with complex solutions. The discriminant is negative, indicating that the solutions will involve the imaginary unit .
Key Concept Explanation
The key concept here is the use of the quadratic formula and the understanding of complex numbers. When the discriminant is negative, the solutions are complex.
The key concept here is the use of the quadratic formula and the understanding of complex numbers. When the discriminant is negative, the solutions are complex.
Step-by-step Solution
1. Identify coefficients: , , .
2. Calculate the discriminant:
1. Identify coefficients: , , .
2. Calculate the discriminant:
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