Question

If α and β are zeroes of x²-x-1, then find 1/α + 1/β

Answer 1

Step-by-step explanation:

a= 1 b= -1 c= -1

sum of roots = -b/a

a+B = -(-1)/1

= 1

product of roots = c/a

=-1/1

= -1

1/a + 1/B = (a + B)/aB

= 1 / (-1)

= -1