Question

: the sum and product of the zeros of polynominal f(X)=4x2-27x+3k2are equal of (S)o of k

Answer 1

Heya dear !!!



P(X) = 4X² -27X +3K²




Here,



A = 4 , B = -27 and C = 3K²



Sum of zeroes = -B/A



Alpha + Beta = -(-27)/4



Alpha + Beta = 27/4 -------(1)


And,



Product of zeroes = C/A


Alpha × Beta = 3K²/4 ------(2)



According to question,



Sum of zeroes = Product of zeroes



Alpha + Beta = Alpha × Beta

27/4 = 3K²/4




27 × 4 = 12K².




12K² - 108 = 0



12( K² -9 ) = 0



K² -9 = 0/12 = 0



K² = 9



K = ✓9


K = -3 or 3.



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




THANKS :-))))