Solve 25m^2-10m-11=0

Evaluate

25 m^{2} - 10 m - 11 = 0

Substitute a= 25,b= - 10 and c= - 11 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 25 ( - 11 )}{2 \times 25}

Simplify the expression

m = \frac{10 \pm ( - 10 ) ^{2} - 4 \times 25 ( - 11 )}{50}

Simplify the expression

More Steps

m = \frac{10 \pm 1200}{50}

Simplify the radical expression

More Steps

m = \frac{10 \pm 20 3}{50}

Separate the equation into 2 possible cases

m = \frac{10 + 20 3}{50} m = \frac{10 - 20 3}{50}

Simplify the expression

More Steps

m = \frac{1 + 2 3}{5} m = \frac{10 - 20 3}{50}

Simplify the expression

More Steps

m = \frac{1 + 2 3}{5} m = \frac{1 - 2 3}{5}

Solution

m_{1} = \frac{1 - 2 3}{5}, m_{2} = \frac{1 + 2 3}{5}

Alternative Form

m_{1} \approx - 0.49282, m_{2} \approx 0.89282

Solve the quadratic equation