Question

Find the zeroes of 4√3xsquare + 5x-2√3 and verify the relationship between zeroes and coefficient of the polynomial

Answer 1

Answer:

this is your answer. I hope you like it

Answer 2

Answer:

-√3/4 and 2√3/3

Step-by-step explanation:

Here,

a = 4√3 ;

b = - 5 ;

c = - 2√3

Sum of zeroes is given by - b/a

So, sum of zeroes = - (-5)/4√3 = 5/4√3

Product of zeroes is given by c/a

So, product of zeroes = - 2√3/4√3 = - 1/2

→ 4√3 x² - 5x - 2√3

→ ( 4x + √3 )( 3x - 2√3 )

Hence roots are, -√3/4 and 2√3/3.

• Sum of roots = -√3/4 + 2√3/3 = (-3√3+8√3)/3 = 5√3/12 = 5/4√3

• Product of roots = -√3/4 * 2√3/3 = -1/2

Relation verified.