Question

Find the zeroes of 4√3x*2+ 5x - 2√3 and
verily the relation between the zeroes and
coefficient of the polynomial​

Answer 1

Step-by-step explanation:

4√ 3 x^2 + 5x -2√3 (splitting the middle term)

=4√3 x^2 +(8-3)x -2√3

=4√3(√3x+2)-√3(√3x+2)

= (√3x+2) (4x-3)

x = -2/√3

x = √3/4

So, alpha + beta = -b/a

= -5/4√3

Sum of zeros = -2/√3 + √3/4 

= -5/4√3

Alpha×beta = c/a

= -2√3/4√3 

= -1/2

Product of zeros = -2/√3 × √3/4

= -2√3/4√3 

= -1/2

Since the products and sum of zeros are same. Hence, verified.

hope this helps

Answer 2

Answer:

the zeros of the polynomial are -5/4√3 &-1/2

Step-by-step explanation:

4√3x*2+(8-3)x-2√3

=4√3(√3x+2)-√3(√3x+2)

=(3x+2)(4x-3)

x=-2/√3&√3/4

So,

α+β=-b/a

-5/4√3

sum of zeros =-2/√3+√3/4

=-5/4√3

α•β=c/a

=-1/2

product of zeros =-2/√3*√6/4

=-1/2

Since the product and the sum are same, hence verified