Question

If A and B are zeroes of 2x^2-9x+10 , form the polynomial whose zeroes are 1/A and 1/B

Answer 1

1/A+1/B=A+B/AB=(9/2)/(10/2)=9/10

And,

1/AB=1/(10/2)=1/5

The required polynomial:

x^2+(-9/10)x+1/5=0   or,

10x^2-9x+2=0

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