Question

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

Answer 1

Let α = 4 and β = – 5

α + β = 4 – 5 = – 1

and α × β = 4 × (– 5) = – 20

∴ The required quadratic equation is

x² – (α + β)x + αβ = 0

∴ x² – (– 1) x + (– 20) = 0

∴ x² + x – 20 = 0