Question

a and b are the zeroes of the polynomial 6x²+x-2,find a by 2 + b by 2

Answer 1

given, polynomial = 6x² + x -2

by factorization method,

6x² + 4x -3x -2

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

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

so x = 1/2 and x = -2/3

let a = 1/2

therefore a/2 = 1/2 × 1/2 = 1/4

let B = -2/3

b/2 = -2/3 × 1/2 = -1/3

hope it helps you

Answer 2

Dear Student,
I have given pics having answers to the question asked above ....
kindly se those pics to get full solution to the given question.....

SOLUTION:
$\frac{ \alpha }{2} + \frac{ \beta }{2} = - \frac{1}{12}$
HOPE THIS ANSWER HELPS YOU A LOT DEAR.......