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Discriminant (Quadratic & polynomial equations)
D = b² − 4ac
Where: D = discriminant, a = first term / coefficient a, b = coefficient b, c = coefficient c
Solved example
Given: a = 7, b = 5, c = 10
Find: D (discriminant)
- Formula: D = -4·a·c + b²
- Substitute the values: D = -4·10·7 + 5²
- Result: D = -255
Answer: D = -255
Calculator
How to calculate Discriminant (Quadratic & polynomial equations)
- Write down the formula: D = b² − 4ac.
- Note the known values (a, b, c).
- Substitute them and simplify to find D.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Discriminant (Quadratic & polynomial equations)?
The formula is D = b² − 4ac, where D = discriminant, a = first term / coefficient a, b = coefficient b, c = coefficient c.
What is Discriminant (Quadratic & polynomial equations) when a = 7, b = 5, c = 10?
D = -255. Substitute the values into D = b² − 4ac and simplify.