Question

if alpha and beta are roots of x2+px+23=0 and alpha-beta=1 then p=?​

Answer 1

Answer:

p= √93

Step-by-step explanation:

given,if alpha and beta are roots of x^2+px+23=0 and alpha-beta=1

so we know that,alpha+beta=-b/a=-p/1

alpha*beta=c/a=23

so we know that,(alpha-beta)^2=(alpha+beta)^2-4alpha*beta

(-1)^2 =(-p)^2-4(23)

1=p^2-92

p^2= -92-1

p^2= -93

p=√93

so the answer is p=√93

hope it helps you...