Question

if alpha and beta are the zeros of 2x2+5x+k satisfying the relation alpha square+beta square+alpha.beta=21/4,then find the value of k


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Answer 1

alpha and the beta are the polynomials2x2+5x+k

a+b=-5/2,ab=k/2

(a+b)2=(-5/2)2

a2+b2+2ab=25/4

21/4+k/2=25/4

k/2=25/4-21/4=4/4=1

k=2