Mark the Correct alternative in the following:
If α, β are the roots of the equation , then are the roots of the equation

Question

Mark the Correct alternative in the following: If α, β are the roots of the equation , then are the roots of the equation

Philoid · Accepted Answer

from the given equation sum of the roots α + β = - p

Product of roots αβ = q

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

qx² – px + 1 = 0.

Mark the Correct alternative in the following:If α, β are the roots of the equation , then are the roots of the equation