Question

if the sum of the zeros of the quadratic polynomial kx²+3x+4k is equal to their product,then find the value of K

Answer 1

Heya !!!


P(X) = KX²+3X+4K


Here,


A = K , B = 3 and C = 4K



Sum of zeroes = -B/A


Alpha + Beta = -3/K ---------(1)


And,


Product of zeroes = C/A


Alpha × Beta = 4K/K = 4 --------(2)


According to question,


Sum of zeroes = Product of zeroes



Alpha + Beta = Alpha × Beta


-3/K = 4


4K = -3


K = -3/4



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

Answer 2

Easy... practice R.D sharma