Question

if alfa and beta are zero of the polynomial 3x²_5x-2then find the value of (1). 1/beta+1/Alfa(2). alfa²beta+alfabeta²

Answer 1

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Answer 2

if alfa and beta are zero of the polynomial 3x²_5x-2then find the value of (1). 1/beta+1/Alfa(2). alfa²beta+alfabeta²

3x²_5x-2

3x²+1 x- 6 x -2

x (3x+1) -2 (3x+1)

(x-2) (3x+1)

x = 2 -----alfa

x = -1/3 -------beta

(1). 1/beta+1/Alfa

1/-1/3 + 1/2

-3/1 + 1/2

-6 + 1 /2

-5/2

(2). alfa²beta+alfabeta²

2²×(-1/3) + 2×(-1/3)²

4×-1/3 + 2×1/9

-4/3 + 2/9

-12 + 2/9

-10/9