Question

if the zeros of the polynomial xsquare+4x+2alpha are alphaand2/alpha the value of alpha is

Answer 1

x^2+4x+2alpha

now here a=1,b=4 and c=2alpha

alpha and alpha/2 are roots

so alpha *2/alpha;=c/a=2alpha

so 2=2alpha

alpha=1

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Answer 2

product of roots =c/a
alpha×2/alpha=2alpha/1
2=2 alpha
alpha=2/2=1