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The value of α⁻¹ + 1/β is 2
Step-by-step explanation:
given ::- x²-2x+1 = 0
To find ::- the value of α⁻¹ + 1/β
Solution ::-
By factorisation method
x² -x -x + 1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x = 1 x= 1
α = 1 β=1
α⁻¹ + 1/β
= 1/α + 1/β ........law of indices :: x⁻¹ = 1/x
= 1/1 + 1/1 ............substituting the value of α and β
= 1 + 1
= 2
Therefore the value of α⁻¹ + 1/β is 2
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