Question

if alfa and beta are the zeros of quadratic polynomial x²+2x-1 find new quadratic polynomial whose zeros are 2 alfa/ bega and 2 beta/alfa​

Answer 1

Step-by-step explanation:

let,alpha=a and beta=b

a+b=-2. (1)

ab=-1. (2)

by solving equations (1) and (2)

a=i(irrational root√-1)

a=b

b=i

roots=2a/b,2b/a

roots=2,2

x^2+(alpha+beta)x+alpha×beta=0

x^2+4x+4

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