(X^2)-x-1=0

Solution for (X^2)-x-1=0 equation:

Simplifying
(X2) + -1x + -1 = 0
X2 + -1x + -1 = 0

Reorder the terms:
-1 + X2 + -1x = 0

Solving
-1 + X2 + -1x = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + X2 + 1 + -1x = 0 + 1

Reorder the terms:
-1 + 1 + X2 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X2 + -1x = 0 + 1
X2 + -1x = 0 + 1

Combine like terms: 0 + 1 = 1
X2 + -1x = 1

Add 'x' to each side of the equation.
X2 + -1x + x = 1 + x

Combine like terms: -1x + x = 0
X2 + 0 = 1 + x
X2 = 1 + x

Simplifying
X2 = 1 + x

Reorder the terms:
-1 + X2 + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + X2 + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + X2 + -1x = 0 + x + -1x
-1 + X2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + X2 + -1x = 0

The solution to this equation could not be determined.