Question

if alpha and beta are the roots of the equation x^2 - px + q then quadratic equation whose roots are alpha / beta and beta / alpha is ??​

Answer 1

Alpha and beta are the zeroes of the equation x^2-px+q

so, alpha+beta=-p ------(1)

alpha*beta=q -------(2)

from equation (1),

alpha=-p-beta

from equation (2),

beta=q/alpha

so,

alpha/beta=(-p-beta)/q/alpha

beta/alpha=(q/alpha)/-p-beta

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Answer 2

Step-by-step explanation:

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