Question

If alpha and beeta are the roots of x^2- px+q=0. find the values of alpha^2+beeta^2

Answer 1

Answer:

Step-by-step explanation:

As alpha and beta are the roots,

alpha+beta=-(-p)/1

                   =p------------------------(1)

and

alpha*beta=q/1

                  =q

Squaring both sides of (1) we get,

(alpha+beta)^2=p^2

alpha^2+beta^2+2*alpha*beta=p^2

alpha^2+beta^2=p^2-2*alpha*beta

alpha^2+beta^2=p^2-2*q----------------(Ans)

Hope it helps (:  .....................................................Plz mark answer as brainliest