Solve v^2 - 12v - 49 = 0

Evaluate

v^{2} - 12 v - 49 = 0

Substitute a= 1,b= - 12 and c= - 49 into the quadratic formula v = \frac{- b \pm b ^{2} - 4 a c}{2 a}

v = \frac{12 \pm ( - 12 ) ^{2} - 4 ( - 49 )}{2}

Simplify the expression

More Steps

v = \frac{12 \pm 340}{2}

Simplify the radical expression

More Steps

v = \frac{12 \pm 2 85}{2}

Separate the equation into 2 possible cases

v = \frac{12 + 2 85}{2} v = \frac{12 - 2 85}{2}

Simplify the expression

More Steps

v = 6 + 85 v = \frac{12 - 2 85}{2}

Simplify the expression

More Steps

v = 6 + 85 v = 6 - 85

Solution

v_{1} = 6 - 85, v_{2} = 6 + 85

Alternative Form

v_{1} \approx - 3.219544, v_{2} \approx 15.219544

Solve the quadratic equation