Question

guys please please answer​

Answer 1

Step-by-step explanation:

x=√5+2

1/x=1/(√5+2)

=1(√5-2)/(√5+2)(√5-2)

=(√5-2)/(√5)²-(2)²

=(√5-2)/5-4

=(√5-2)/1

=(√5-2)

LHS

x²+1/x²

=(√5+2)²+(√5-2)²

=(√5)²+2²+2*√5*2+(√5)²+2²-2*√5*2

=5+4+4√5+5+4-4√5

=5+4+5+4

=18

RHS

18

Therefore, LHS=RHS

(Proved)