Solve m^2-m1=2/3log

Evaluate

m^{2} - m \times 1 = \frac{2}{3}

Any expression multiplied by 1 remains the same

m^{2} - m = \frac{2}{3}

Move the expression to the left side

m^{2} - m - \frac{2}{3} = 0

Multiply both sides

3 (m^{2} - m - \frac{2}{3}) = 3 \times 0

Calculate

3 m^{2} - 3 m - 2 = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

m = \frac{3 \pm 33}{6}

Separate the equation into 2 possible cases

m = \frac{3 + 33}{6} m = \frac{3 - 33}{6}

Solution

m_{1} = \frac{3 - 33}{6}, m_{2} = \frac{3 + 33}{6}

Alternative Form

m_{1} \approx - 0.457427, m_{2} \approx 1.457427

Solve the quadratic equation