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

Evaluate

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

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

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

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 5 ( - 4 )}{10}

Simplify the expression

More Steps

x = \frac{3 \pm 89}{10}

Separate the equation into 2 possible cases

x = \frac{3 + 89}{10} x = \frac{3 - 89}{10}

Solution

x_{1} = \frac{3 - 89}{10}, x_{2} = \frac{3 + 89}{10}

Alternative Form

x_{1} \approx - 0.643398, x_{2} \approx 1.243398

Solve the quadratic equation