Solve x^(2)-10x-2=0

Evaluate

x^{2} - 10 x - 2 = 0

Substitute a= 1,b= - 10 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 ( - 2 )}{2}

Simplify the expression

More Steps

x = \frac{10 \pm 108}{2}

Simplify the radical expression

More Steps

x = \frac{10 \pm 6 3}{2}

Separate the equation into 2 possible cases

x = \frac{10 + 6 3}{2} x = \frac{10 - 6 3}{2}

Simplify the expression

More Steps

x = 5 + 33 x = \frac{10 - 6 3}{2}

Simplify the expression

More Steps

x = 5 + 33 x = 5 - 33

Solution

x_{1} = 5 - 33, x_{2} = 5 + 33

Alternative Form

x_{1} \approx - 0.196152, x_{2} \approx 10.196152

Solve the quadratic equation