Question

if one zero of polynomial x²-4x+1is 2+✓3; write the other zero.
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Answer 1

quadratic equation= a+b+c=0

px=x^2-4x+1

α+β= -b/a

αβ= a/c

α+β=4. 1st equation

αβ=1

α= 2+√3 given

put it into 1st eq

2+√3+β=4

β=4-2-√3

β=2-√3

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