Question

If sum of the zeroes of a quadratic polynominal f(t) =kt2+2t+3k is equal to their product find the value of k

Answer 1

Hiii friend,


Let Alpha and beta are the two zeroes of the GIVEN POLYNOMIAL.


P(T) = KT²+2T+3K

Here,


A = K , B = 2 and C = 3K


Therefore,


Sum of zeroes = -B/A

Alpha + Beta = -2/K


And,

Product of zeroes = C/A


Alpha × Beta = 3K/K = 3


According to question,

Sum of zeroes = Product of zeroes


Alpha + Beta = Alpha × Beta


-2/K = 3


3k = -2

K = -2/3.




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