If a, ß are zeros of a polynomial p(x) = x2-2x+5 then the value of
a+ß is
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in x²-2x+5
α+β=-2 and αβ=5 and hence if α+β is a root then -2 is one root and if 1/α+1/β is a root then by taking LCM α+β/αβ is a root ,which we already know as -2/5 . hence the polynomial is {x-(α+β)}{x-(1/α+1/β)} ,which is {x-(-2)}{x-(-2/5)} ={x+2] [x+2/5]=5x²+12x +4
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