Solve 3m^2-2m-7 - ScanMath

Evaluate

3 m^{2} - 2 m - 7

To find the roots of the expression,set the expression equal to 0

3 m^{2} - 2 m - 7 = 0

Substitute a= 3,b= - 2 and c= - 7 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 3 ( - 7 )}{2 \times 3}

Simplify the expression

m = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 3 ( - 7 )}{6}

Simplify the expression

More Steps

m = \frac{2 \pm 88}{6}

Simplify the radical expression

More Steps

m = \frac{2 \pm 2 22}{6}

Separate the equation into 2 possible cases

m = \frac{2 + 2 22}{6} m = \frac{2 - 2 22}{6}

Simplify the expression

More Steps

m = \frac{1 + 22}{3} m = \frac{2 - 2 22}{6}

Simplify the expression

More Steps

m = \frac{1 + 22}{3} m = \frac{1 - 22}{3}

Solution

m_{1} = \frac{1 - 22}{3}, m_{2} = \frac{1 + 22}{3}

Alternative Form

m_{1} \approx - 1.230139, m_{2} \approx 1.896805

Find the roots