If α, β are roots of the equation , write an equation whose roots are
and
.
from the given equation sum of the roots α + β = - l
Product of roots αβ = m
Formula to form a quadratic equation is x2- (α + β) x+ αβ = 0
Where α, β are roots of equation.
Given are roots, then required quadratic equation is
mx2 – lx + 1 = 0.