Question

Find the value of k if (x-3) is a factor of k?2x?2-kx-2

Answer 1

Given equation K^2x^2-kx-2=0 Put x=3 9k^2-3k-2=0 9k^2-6k+3k-2=0 3k (3k-2)+1 (3k-2)=0 (3k-2)(3k+1)=0 If 3k-2=0 Then x= 2/3 If 3k+1=0 Then k=(-1/3) Required value of know is 2/3 or (-1/3)