Solve 9m^2 - 7m - 4 = 0

Evaluate

9 m^{2} - 7 m - 4 = 0

Substitute a= 9,b= - 7 and c= - 4 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 9 ( - 4 )}{2 \times 9}

Simplify the expression

m = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 9 ( - 4 )}{18}

Simplify the expression

More Steps

m = \frac{7 \pm 193}{18}

Separate the equation into 2 possible cases

m = \frac{7 + 193}{18} m = \frac{7 - 193}{18}

Solution

m_{1} = \frac{7 - 193}{18}, m_{2} = \frac{7 + 193}{18}

Alternative Form

m_{1} \approx - 0.382914, m_{2} \approx 1.160691

Solve the quadratic equation