Solve z^2 -15z -30 = 0

Evaluate

z^{2} - 15 z - 30 = 0

Substitute a= 1,b= - 15 and c= - 30 into the quadratic formula z = \frac{- b \pm b ^{2} - 4 a c}{2 a}

z = \frac{15 \pm ( - 15 ) ^{2} - 4 ( - 30 )}{2}

Simplify the expression

More Steps

z = \frac{15 \pm 345}{2}

Separate the equation into 2 possible cases

z = \frac{15 + 345}{2} z = \frac{15 - 345}{2}

Solution

z_{1} = \frac{15 - 345}{2}, z_{2} = \frac{15 + 345}{2}

Alternative Form

z_{1} \approx - 1.787088, z_{2} \approx 16.787088

Solve the quadratic equation