Question

find the zeroes of the quadratic 4 root 3 x²+5x-2root3 and verify the relationship between the zeroes and the coffecients

Answer 1

hi!!______
___________.
here Is your answer

Answer 2

Hiii friend,

P(X) => 4✓3X²+5X-2✓3


=> 4✓3X²+8X-3X-2✓3


=> 4X(✓3X+2) -✓3(✓3X+2)


=> (✓3X+2)(4X-✓3) = 0


=> (✓3X+2) = 0 OR (4X-✓3) = 0


=> X = -2/✓3 OR X = ✓3/4

Alpha = -2/✓3 and beta = ✓3/4


Relationship between the zeroes and Coefficient.



Sum of zeroes = (Alpha + Beta) = (-2/✓3 + ✓3/4) = -8+3/4✓3 = -5/4✓3 = Coefficient of X/Coefficient of X².



And,



Product of zeroes = (Alpha × beta) = -2/✓3 × ✓3/4 = -2✓3/4✓3 = Constant term/Coefficient of X².



HOPE IT WILL HELP YOU...... :-)