x + (1 + x)*√5 = 1
x + √5 + √5*x = 1
x(1 + √5) = 1 - √5 /:(1+√5
x = (1-√5)/(1+√5) * (1-√5/(1-√5)
x = (1-√5)²/(1-5)
x = (1 - 2√5 + 5)/(-4)
x = -(6 - 2√5)/(-4)
x = (√5 - 3)/2
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x + (1 + x)*√5 = 1
x + √5 + √5*x = 1
x(1 + √5) = 1 - √5 /:(1+√5
x = (1-√5)/(1+√5) * (1-√5/(1-√5)
x = (1-√5)²/(1-5)
x = (1 - 2√5 + 5)/(-4)
x = -(6 - 2√5)/(-4)
x = (√5 - 3)/2