Solve x^(2)-2x-11=0

Evaluate

x^{2} - 2 x - 11 = 0

Substitute a= 1,b= - 2 and c= - 11 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2 \pm ( - 2 ) ^{2} - 4 ( - 11 )}{2}

Simplify the expression

More Steps

x = \frac{2 \pm 48}{2}

Simplify the radical expression

More Steps

x = \frac{2 \pm 4 3}{2}

Separate the equation into 2 possible cases

x = \frac{2 + 4 3}{2} x = \frac{2 - 4 3}{2}

Simplify the expression

More Steps

x = 1 + 23 x = \frac{2 - 4 3}{2}

Simplify the expression

More Steps

x = 1 + 23 x = 1 - 23

Solution

x_{1} = 1 - 23, x_{2} = 1 + 23

Alternative Form

x_{1} \approx - 2.464102, x_{2} \approx 4.464102

Solve the quadratic equation