Solve m^2 - 8m - 35 = 0

Evaluate

m^{2} - 8 m - 35 = 0

Substitute a= 1,b= - 8 and c= - 35 into the quadratic formula m = \frac{- b \pm b ^{2} - 4 a c}{2 a}

m = \frac{8 \pm ( - 8 ) ^{2} - 4 ( - 35 )}{2}

Simplify the expression

More Steps

m = \frac{8 \pm 204}{2}

Simplify the radical expression

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m = \frac{8 \pm 2 51}{2}

Separate the equation into 2 possible cases

m = \frac{8 + 2 51}{2} m = \frac{8 - 2 51}{2}

Simplify the expression

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m = 4 + 51 m = \frac{8 - 2 51}{2}

Simplify the expression

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m = 4 + 51 m = 4 - 51

Solution

m_{1} = 4 - 51, m_{2} = 4 + 51

Alternative Form

m_{1} \approx - 3.141428, m_{2} \approx 11.141428

Solve the quadratic equation