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