Question

2.
B2
is
If a and B are the roots of x2 = x + 1 then value of
B
a2÷b-b2÷a​

Answer 1

Sum of the roots ⇒a+b=−1                ...(1)

Product of the roots ⇒ab=1               ...(2)

We know that,

(a+b)  2  =a  2  +b  2+2ab

⇒a  2 +b  2=(a+b)  2  −2ab

Substituting (1) and (2) in the above equation, we get

⇒a 2  +b  2 =(−1)  2 −2(1)

∴a  2+b  2 =−1

hope it helps you