Question

if alpha and beta are the zeros of equation x squared - 5x +6 =0 then find the value of alpha - beta

Answer 1

x2-(alpha+beta)x+alpha*beta=0
alpha+beta=5
alpha*beta=6
(alpha+beta)2=alpha2+beta2+2alpha*beta
25=alpha2+beta2+12
alpha2+beta2=13
(alpha-beta)2= alpha2+ beta2-(2*alpha* beta)
=13-12
=1
alpha - beta=1

Answer 2

hey...

here is your answer........

the answer is one

see the attachment for further details