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Product of roots
αβ = c / a
Where: a = first term / coefficient a, α = α, β = β, c = coefficient c
Solved example
Given: alpha = 7, beta = 5, c = 10
Find: a (first term / coefficient a)
- Formula: α·β = c/a
- Rearranged for a: a = c/(α·β)
- Substitute the values: a = 10/(5·7)
- Result: a = 0.285714
Answer: a = 0.285714
Calculator
How to calculate Product of roots
- Write down the formula: αβ = c / a.
- Note the known values (α, β, c).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Product of roots?
The formula is αβ = c / a, where a = first term / coefficient a, α = α, β = β, c = coefficient c.
What is Product of roots when alpha = 7, beta = 5, c = 10?
a = 0.285714. Substitute the values into αβ = c / a and simplify.