Question

Solve:

x^2-x-1=0

is it (x+1)(x-1)= 0
x + 1 = 0
x - 1 = 0

so then X = -1,1

Answer 1

No, that is not the answer. Your factors are wrong.

The quadratic equation tells you that
x = [1 +/- sqrt5]/2,
= 1.61803 or -0.61803
The factored equation would be
[x -1/2 -(sqrt5)/2][x -1/2 +(sqrt5)/2] = 0