JAMB - Mathematics (2000 - No. 17)
If α and β are the roots of the equation 3x\(^2\) + 5x - 2 = 0, find the value of 1/α + 1/β
-5/3
-2/3
1/2
5/2
Wyjaśnienie
1/α + 1/β = β+α/αβ
3x\(^2\) + 5x - 2 = 0
x\(^2\) + 5x/3 - 2/3 = 0
αβ = -2/3
β+α = -5/3
Thus; β+α/αβ = -5/3 ÷ -2/3 = 5/2