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Equation from roots
x² − (α + β)x + αβ = 0
Where: α = Equation from roots, β = β, x = x
Solved example
Given: beta = 7, x = 5
Find: alpha (Equation from roots)
- Formula: α·β + x² - x·(α + β) = 0
- Rearranged for α: α = x
- Substitute the values: α = 5
- Result: α = 5
Answer: alpha = 5
Calculator
How to calculate Equation from roots
- Write down the formula: x² − (α + β)x + αβ = 0.
- Note the known values (β, x).
- Substitute them and simplify to find alpha.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Equation from roots?
The formula is x² − (α + β)x + αβ = 0, where α = Equation from roots, β = β, x = x.
What is Equation from roots when beta = 7, x = 5?
alpha = 5. Substitute the values into x² − (α + β)x + αβ = 0 and simplify.