Question

If the sum of the zeros of the polynomial
p(x) = (k²-14)x²-2x-4 is 1
then find the value of k​

Answer 1

Step-by-step explanation:

given polynomial (k^2-14)x^2-2x-4=0

here,a=k^2-14,

b=-2, c=-4

let the two roots be x,y

sum of the zeroes=x+y=1

-b/a=1

-(-2)/k^2-14=1

4=k^2-14

k^2=16

k=+4 or -4