Question #6446561Fill 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 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 using the quadratic formula. 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 that when the discriminant is negative, the solutions are complex numbers.
The key concept here is the use of the quadratic formula and the understanding that when the discriminant is negative, the solutions are complex numbers.
Step-by-step Solution
1. Identify coefficients: , , .
2. Calculate the discriminant:
1. Identify coefficients: , , .
2. Calculate the discriminant:
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