Solve x^2-7x-14=0

Evaluate

x^{2} - 7 x - 14 = 0

Substitute a= 1,b= - 7 and c= - 14 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 ( - 14 )}{2}

Simplify the expression

More Steps

x = \frac{7 \pm 105}{2}

Separate the equation into 2 possible cases

x = \frac{7 + 105}{2} x = \frac{7 - 105}{2}

Solution

x_{1} = \frac{7 - 105}{2}, x_{2} = \frac{7 + 105}{2}

Alternative Form

x_{1} \approx - 1.623475, x_{2} \approx 8.623475

Solve the quadratic equation