Math Problem Statement
What is the quadratic formula?
A. x = [-b ± sqrt(b^2 - 4ac)] / 2a
B. x = [-b ± sqrt(a^2 - 4bc)] / 2a
C. x = [-a ± sqrt(b^2 - 4ac)] / 2b
D. x = [-b ± sqrt(b^2 - 4ab)] / 2c
Solution
The correct form of the quadratic formula is:
A.
This formula is used to solve quadratic equations of the form , where:
- , , and are coefficients.
- means there are two solutions: one with a plus and one with a minus.
- The expression is called the discriminant, which determines the nature of the roots.
Would you like more details on how to apply this formula or any specific example?
Here are 5 related questions:
- How do you use the discriminant to determine the number of solutions?
- What are the possible types of roots based on the discriminant?
- Can the quadratic formula be used for any quadratic equation?
- What happens if the discriminant is negative?
- How do you derive the quadratic formula?
Tip: Always check the value of the discriminant before calculating the roots to know if they are real or complex.
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Discriminant
Formulas
Quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Quadratic formula theorem
Suitable Grade Level
Grades 9-11