Solve x^2-10x-3=0

Evaluate

x^{2} - 10 x - 3 = 0

Substitute a= 1,b= - 10 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 ( - 3 )}{2}

Simplify the expression

More Steps

x = \frac{10 \pm 112}{2}

Simplify the radical expression

More Steps

x = \frac{10 \pm 4 7}{2}

Separate the equation into 2 possible cases

x = \frac{10 + 4 7}{2} x = \frac{10 - 4 7}{2}

Simplify the expression

More Steps

x = 5 + 27 x = \frac{10 - 4 7}{2}

Simplify the expression

More Steps

x = 5 + 27 x = 5 - 27

Solution

x_{1} = 5 - 27, x_{2} = 5 + 27

Alternative Form

x_{1} \approx - 0.291503, x_{2} \approx 10.291503

Solve the quadratic equation