Question

If a=1/2(1+√5) show that a²-a-1=0​

Answer 1

Step-by-step explanation:

a=1/2(1+^5)

a=1/2+^5/2

LCM=2

1+^5/2

a²‐a-1=0

(^5/2)²‐^5/2‐1=0

5/4-^5/2‐1=0

=1‐2^5/4