Use the quadratic formula to determine the exact solutions to the equation.

x^2-2x-4=0

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x = or x =

For this case we have the following equation:

x ^ 2-2x-4 = 0

We use the quadratic formula:

x = ( - b + / - root (b ^ 2 - 4 * a * c)) / (2 * a)

Substituting values we have:

x = ( - ( - 2) + / - root (( - 2) ^ 2 - 4 * (1) * ( - 4))) / (2 * (1))

Rewriting we have:

x = (2 + / - root (4 + 16)) / 2

x = (2 + / - root (20)) / 2

x = (2 + / - root (4 * 5)) / 2

x = (2 + / - 2raiz (5)) / 2

x = (1 + / - root (5))

The roots are:

x1 = (1 + root (5))

x2 = (1 - root (5))

Answer:

x1 = (1 + root (5))

x2 = (1 - root (5))