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Sum of roots
α + β = −b / a
Where: a = first term / coefficient a, α = α, b = coefficient b, β = β
Solved example
Given: alpha = 7, b = 5, beta = 10
Find: a (first term / coefficient a)
- Formula: α + β = -b/a
- Rearranged for a: a = -b/(α + β)
- Substitute the values: a = -5/(10 + 7)
- Result: a = -0.294118
Answer: a = -0.294118
Calculator
How to calculate Sum of roots
- Write down the formula: α + β = −b / a.
- Note the known values (α, b, β).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Sum of roots?
The formula is α + β = −b / a, where a = first term / coefficient a, α = α, b = coefficient b, β = β.
What is Sum of roots when alpha = 7, b = 5, beta = 10?
a = -0.294118. Substitute the values into α + β = −b / a and simplify.