(vi) 0 and – 4
Sol. The roots
of the quadratic equation are 0 and – 4.
Let α = 0 and β =
– 4
∴ α + β = 0
+ (– 4) = – 4
and α β = 0 × – 4 = 0
We know that, Quadratic equation is given by,
x2 – (Sum of the roots)x + Product of
the roots = 0
∴ x2 –( α + β)x + αβ = 0
∴ x2 – (-4)x + (0) = 0
∴ x2 + 4x = 0
∴ The required
quadratic equation is x2 + 4x = 0