Hello !
√5 x - x = 1 + √ 5
x ( √ 5 - 1 ) = 1 + √ 5
x = ( 1 + √ 5 ) / ( √ 5 - 1 )
x = ( 1 + √ 5 ) * ( √ 5 + 1 ) / ( √ 5 - 1 ) ( √ 5 + 1)
x = ( 1 + √ 5 ) ² / ( 5 - 1 )
x =( 5 + 2√ 5 + 1) / 4
x = (6 + 2√ 5 )/ 4
x = (2 ( 3 + √ 5 )) / (2*2)
x = ( 3 + √5 ) / 2
bonne journée