Question

if the roots of the equation 3x²+5x+2=0 are alpha and beta then what is the value of 1/alpha-1/beta

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Answer 1

➻α+β = -b/a = -5/3

➻αβ = c/a = 2/3

➻α/β+β/α = α²+β²/αβ

➻(α+β)² - 2αβ/αβ

➻(5/3)² - 2(2/3)/2/3

➻25/9 - 4/3/2/3 = 25 - 12/9/2/3

➻13/9 × 3/2

➻39/18

➻13/6