Question

find the zeroes of the quadratic polynomial 3x2-3√3x+2andverify the relationship between the zeroesand the coeffcients

Answer 1

Heya !!!


P(X) = 3X² -3✓3X +2



=> 3X² - 2✓3X - ✓3X +2



=> ✓3X ( ✓3X - 2) -1( ✓3X -2)



=> ( ✓3X -2) ( ✓3X -1) = 0


=> ( ✓3X-2) = 0 OR ( ✓3X -1) = 0




=> X = 2/✓3 OR X = 1/✓3



Let Alpha = 2/✓3 and Beta = 1/✓3




Relationship between the zeroes and Coefficient.




Sum of zeroes = Alpha + Beta = 2/✓3 + 1/✓3 = 2✓3 + ✓3/3 = Coefficient of X/Coefficient of X².



And,



Product of zeroes = Alpha × Beta = 2/✓3 × 1/✓3 = 2/✓3 = Constant term/Coefficient of X².


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

Answer 2

HERE IS YOUR ANSWER!!
HOPE YOU UNDERSTAND!
PLZZ MARK AS BRAINLIEST IF FOUND MORE HELPFUL!
THANK YOU!