Solve 3m^2-27m+5=0

Evaluate

3 m^{2} - 27 m + 5 = 0

Substitute a= 3,b= - 27 and c= 5 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{27 \pm ( - 27 ) ^{2} - 4 \times 3 \times 5}{2 \times 3}

Simplify the expression

m = \frac{27 \pm ( - 27 ) ^{2} - 4 \times 3 \times 5}{6}

Simplify the expression

More Steps

m = \frac{27 \pm 669}{6}

Separate the equation into 2 possible cases

m = \frac{27 + 669}{6} m = \frac{27 - 669}{6}

Solution

m_{1} = \frac{27 - 669}{6}, m_{2} = \frac{27 + 669}{6}

Alternative Form

m_{1} \approx 0.189161, m_{2} \approx 8.810839

Solve the quadratic equation