(i) 5 and – 7
Sol. The roots
of the quadratic equation are 5 and – 7.
Let α = 5
and β = - 7
∴ α + β = 5 + (– 7)
= 5 – 7 = – 2
and αβ = 5 × – 7 =
– 35
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 – (– 2)x + (– 35) = 0
∴ x2 + 2x – 35 = 0
∴ The required
quadratic equation is x2 + 2x – 35 = 0
