Solve x^(2)-2x-2=0

Evaluate

x^{2} - 2 x - 2 = 0

Substitute a= 1,b= - 2 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2 \pm ( - 2 ) ^{2} - 4 ( - 2 )}{2}

Simplify the expression

More Steps

x = \frac{2 \pm 12}{2}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 3}{2}

Separate the equation into 2 possible cases

x = \frac{2 + 2 3}{2} x = \frac{2 - 2 3}{2}

Simplify the expression

More Steps

x = 1 + 3 x = \frac{2 - 2 3}{2}

Simplify the expression

More Steps

x = 1 + 3 x = 1 - 3

Solution

x_{1} = 1 - 3, x_{2} = 1 + 3

Alternative Form

x_{1} \approx - 0.732051, x_{2} \approx 2.732051

Solve the quadratic equation