Solve 3m^2+2m-7=0

Evaluate

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

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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

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

Simplify the expression

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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 - 1.896805, m_{2} \approx 1.230139

Solve the quadratic equation