हिन्दी में पढ़ेंHome › Formulas › Quadratic & polynomial equations › Cubic — pair products
Cubic — pair products
αβ + βγ + γα = c/a
Where: a = first term / coefficient a, α = α, β = β, c = coefficient c, γ = γ
Solved example
Given: alpha = 7, beta = 5, c = 10, gamma = 4
Find: a (first term / coefficient a)
- Formula: α·β + α·γ + β·γ = c/a
- Rearranged for a: a = c/(α·β + α·γ + β·γ)
- Substitute the values: a = 10/(4·5 + 4·7 + 5·7)
- Result: a = 0.120482
Answer: a = 0.120482
Calculator
How to calculate Cubic — pair products
- Write down the formula: αβ + βγ + γα = c/a.
- Note the known values (α, β, c, 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 — pair products?
The formula is αβ + βγ + γα = c/a, where a = first term / coefficient a, α = α, β = β, c = coefficient c, γ = γ.
What is Cubic — pair products when alpha = 7, beta = 5, c = 10, gamma = 4?
a = 0.120482. Substitute the values into αβ + βγ + γα = c/a and simplify.