Solve x^2 - x - 1

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

1 + 4

Add the numbers

5

x = \frac{1 \pm 5}{2}

Separate the equation into 2 possible cases

x = \frac{1 + 5}{2} x = \frac{1 - 5}{2}

Solution

x_{1} = \frac{1 - 5}{2}, x_{2} = \frac{1 + 5}{2}

Alternative Form

x_{1} \approx - 0.618034, x_{2} \approx 1.618034

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