Solve 3x^2 - 5x - 4 = 0

Evaluate

3 x^{2} - 5 x - 4 = 0

Substitute a= 3,b= - 5 and c= - 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 4 )}{2 \times 3}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 4 )}{6}

Simplify the expression

More Steps

x = \frac{5 \pm 73}{6}

Separate the equation into 2 possible cases

x = \frac{5 + 73}{6} x = \frac{5 - 73}{6}

Solution

x_{1} = \frac{5 - 73}{6}, x_{2} = \frac{5 + 73}{6}

Alternative Form

x_{1} \approx - 0.590667, x_{2} \approx 2.257334

Solve the quadratic equation