Question

find the zeros of the quadratic polynomial 4 root 3 X square + 5 x minus 2 root 3 and verify the relationship between the zeros and the coefficients.

Answer 1

Heya !!!



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-✓4) = 0


=> X = -2/✓3 OR X = ✓4/4


Let Alpha = -2/✓3 and Beta = ✓4/4



Relationship between zeroes and Coefficient



Sum of zeroes = Alpha + Beta = ( -2/✓3 + ✓4/4) = -8 + 4/4✓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....... :-)

Answer 2

Answer:

Step-by-step explanation:

I hope it will help you