Solve 3x^2-37x-378=0

Evaluate

3 x^{2} - 37 x - 378 = 0

Substitute a= 3,b= - 37 and c= - 378 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{37 \pm ( - 37 ) ^{2} - 4 \times 3 ( - 378 )}{2 \times 3}

Simplify the expression

x = \frac{37 \pm ( - 37 ) ^{2} - 4 \times 3 ( - 378 )}{6}

Simplify the expression

More Steps

x = \frac{37 \pm 5905}{6}

Separate the equation into 2 possible cases

x = \frac{37 + 5905}{6} x = \frac{37 - 5905}{6}

Solution

x_{1} = \frac{37 - 5905}{6}, x_{2} = \frac{37 + 5905}{6}

Alternative Form

x_{1} \approx - 6.640666, x_{2} \approx 18.974

Solve the quadratic equation