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Cubic — sum of roots
α + β + γ = −b/a
Where: a = first term / coefficient a, α = α, b = coefficient b, β = β, γ = γ
Solved example
Given: alpha = 7, b = 5, beta = 10, gamma = 4
Find: a (first term / coefficient a)
- Formula: α + β + γ = -b/a
- Rearranged for a: a = -b/(α + β + γ)
- Substitute the values: a = -5/(10 + 4 + 7)
- Result: a = -0.238095
Answer: a = -0.238095
Calculator
How to calculate Cubic — sum of roots
- Write down the formula: α + β + γ = −b/a.
- Note the known values (α, b, β, γ).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Cubic — sum of roots?
The formula is α + β + γ = −b/a, where a = first term / coefficient a, α = α, b = coefficient b, β = β, γ = γ.
What is Cubic — sum of roots when alpha = 7, b = 5, beta = 10, gamma = 4?
a = -0.238095. Substitute the values into α + β + γ = −b/a and simplify.