Question

x=3+√5/2 then find 1/x^2​

Answer 1

Answer:

x=3+√5/2

1/(3+√5/2)^2

${(a + b) }^{2} = {a}^{2} + {b }^{2} + 2ab$

= 1/3^2 + (√5/2)^2 +2(3)(√5/2)

=1/9+5/4+6√5/2

=1/(36+5+6√5)/4

=1/(42+6√5)/4

=4/42+6√5