check whether root 2 and 2 are the zeros of polynomial x square - 2x
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root 2 and 2 are the zeros of polynomial x square - 2 X bro
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x^2-2x+2=0............(1)
=> x^2-x-x+2=0
=> x*(x-1)-1*(x-1)=0.............(2)
now take (x-1) common to get
(x-1)*(x-1)=0
=> x=1
Or to understand it more easily take (x-1)=p. Then (2) becomes
x*p-1*p=0
=> p*(x-1)=0
=>(x-1)*(x-1)=0
=>(x-1)^2=0
=> x-1=0
=> x=1
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