Math, asked by lI12345Il, 2 months ago

if α and β are the zeroes of the polynomial f(x) = [ x² + x - 2 ] , find the value of [ ¹/α - ¹/β ]​

Answers

Answered by snehankita2006dey
1

Answer:

α + β = -1

α × β = 2

     ( β - α )² =  (  β + α )² -4αβ

                   =  ( -1 )² -4 × 2

                   =  -7

       ( β - α ) = √ (-7)

[ ¹/α - ¹/β ]​ = [( β - α ) / αβ ]

                = [ √(-7) / 2 ] is the answer

Step-by-step explanation:

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