if a and b are zeros of polynomial f(x)=x2-2x+3,find the plynomial whose roots are a-1/a+1 and b-1/b+1

Asked by katyalaanchal | 26th May, 2011, 12:00: AM

Expert Answer:

It is given that a and b are zeros of polynomial f(x)=x2-2x+3.
Therefore, a+b=2
ab=3
Now, the zeroes of the required quadratic polynomial are  
Sum of roots = Similarly, we get Product of roots = 1/3
 
Now, the required quadratic polynomial is given by:
x2 - (Sum of roots)x + (Product of roots)
i.e., x2 - (2/3)x + (1/3)

Answered by  | 26th May, 2011, 10:51: PM

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