Question

Find the zeros of 3x^2+5x-2 and verify the relationship between zeros and coefficients

Answer 1

Step-by-step explanation:

3x^2 +5x -2 =0

3x^2 +6x - 1x - 2 = 0

3x ( x + 2 ) - 1 ( x + 2 ) = 0

(3x - 1 ) ( x+ 2) =0

x = 1/3 x = - 2

let alpha = 1/3 and beta = -2

alpha + beta = 1/3 -2 = -5/3

- coefficient of x / coefficient of x^2 = - 5/3

alpha × beta = 1/3 × -2 = -2/3

constant / coefficient of x^2 = -2/3

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