Question

the sumand the product of the zeroes of the polynomial p(x)=4xsquareroot -27x+3ksquare are equal find the value

Answer 1

Heya !!!




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)





Given that,



Sum of zeroes = Product of zeroes




Alpha + Beta = Alpha × Beta




27/4 = 3K²/4






3K² = 27



K² = 27/3





K² = 9


K = ✓9 = 3




Hence,




The value of K is 3.




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