Question

Obtain zeroes of 4√3x² +5x - 2√3 and verify relation between its zeroes and coefficients

Answer 1

4√3 x² + 5x - 2√3

x= -5 ± √25+96/8√3
-5± 11/8√3


-5+11. -5-11
------ , ---------
8√3. 8√3

3 / 4√3. , -2 / √3

let roots be alpha, beta

alpha+beta = -b/a
from eq. -5 / 4√3

3 /4√3 + (-2 / √3)
3 - 8 / 4√3. = -5/4√3

alpha x beta from eq. - 1/2
3/4√3 x -2/√3
-6/12 = -1/2