Question

Roots of a quadratic equation are 5 and – 4, then form the quadratic equation

Answer 1

Let α = 5 and β = – 4

α + β = 5 – 4 = 1

and α × β = 5 × (– 4) = – 20

∴ The required quadratic equation is

x² – (α + β)x + αβ = 0

∴ x² – (1) x + (– 20) = 0

∴ x² – x – 20 = 0