Question

Find the sum and product of the roots for the following quadratic equation

3y² – y – 4 = 0

Answer 1

3y² – y – 4 = 0 ÷ 3

`y^2 - y/3 - 4/3` = 0

`y^2 - (1/3)y + ((-4)/3)` = 0

∴ α + β = `(1)/(3)`

αβ = `(-4)/(3)`