Question

if alpha and beta are the zeroes of a polynomial x²-4√3x+3,then find the value of alpha+beta-alpha×beta.

Answer 1

since it is a quadratic equation,

alpha + beta = 4$\sqrt{3}$

alpha x beta = 3

4$\sqrt{3}$ - 3 is the answer

hope it helped you

Answer 2

HERE IS YOUR ANSWER


If alpha and beta are the zeroes of a polynomial
x*2-4root3x +3

here a=1 , b = -4root3 , c= 3

SUM OF ROOTS (alpha + beta) = -b/a = - (-4 root3)/1
=4 root 3

PRODUCT OF ROOTS (alpha x beta )= c/a = 3/1
= 3

The value of alpha + alpha - alpha x beta = 4 root 3 - 3 ANSWER

HOPE IT HELPS YOU