Question

-5 is one of the zeros of 2 X square +px - 15, zeros of p(x square + x) + k are equal to each other. find the value of k

Answer 1

Alpha=-5 Equ 1. 2x^+px-15
Equ 2. px^+x+k
Finding beta:
Alpha.beta=c/a
-5beta=-15/2
5beta=15/2
beta=15/2/5
beta=3/
Finding 'p':
Alpha+beta=-b/a
-5+3/2=-p/2
-7=-p
P=7
As equ 1. and equ 2. has same roots hence , finding k:
Alpha.beta=-5.3/2
-15/2 = K/7
K=-105/2

Hope, this helped you....