Question #6446566Fill 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 be complex numbers.
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 be complex numbers.
Key Concept Explanation
The quadratic formula is used to find the roots of a quadratic equation. When the discriminant ( ) is negative, the solutions involve the imaginary unit .
The quadratic formula is used to find the roots of a quadratic equation. When the discriminant ( ) is negative, the solutions involve the imaginary unit .
Step-by-step Solution
1. Identify coefficients: , , .
2. Calculate the discriminant:
1. Identify coefficients: , , .
2. Calculate the discriminant:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!