Question

if one zero of polynomial 3 x square - 8 x + 2 k + 1 is 7 times the other find k

Answer 1

thisis the answer forthe question

Answer 2

Heya !!!


Let one zero of the given polynomial be Alpha

Other zero = 7 × Alpha = 7 Alpha



P(X) = 3X²-8X+2K+1


Here,


A = 3 , B = -8 , C = 2K+1


Sum of zeroes = -B/A



Alpha + 7 Alpha = -(-8)/3



8Alpha = 8/3


Alpha = 8/3 × 8


Alpha = 1/3


And,


Product of zeroes = C/A


Alpha × 7Alpha = 2K+1/3

7Alpha² = 2K+1/3......(1)



Putting the value of alpha in equation (1)


7 × (1/3)² = 2K+1/3


7/3 = 2K+1


K = 2/3




HOPE IT WILL HELP YOU... :-)