Question

If a and B are the zeros of the quadratic polynomial f(x) = x2 - x - 4, find the value of a/b+b/a

Answer 1

Answer:

-9/4

Step-by-step explanation:

From f(x)=x^2-x-4; a+b=1 and ab= -4

a/b+b/a= (a^2+b^2)/ab = [(a+b)^2-2ab]/ab

Sub. a+b and ab

a/b+b/a= [1^2-2*(-4)]/-4

= 1+8/-4= -9/4