If α, β are roots of the equation , write an equation whose roots are and .

Question

If α, β are roots of the equation , write an equation whose roots are  and .

Philoid · Accepted Answer

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.