(iii) - 3 and –11
Sol. The roots
of the quadratic equation are -3 and – 11.
Let α = -3
and β = - 11
∴ α + β = -3 + (–11)
= -3 – 11 = – 14
and αβ = - 3 × – 11 = 33
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 – (–14)x + ( 33) = 0
∴ x2 + 14x 33 = 0
∴ The required
quadratic equation is x2 + 14x 33 = 0
