Solve 4x^(2)-5x-12=19

Evaluate

4 x^{2} - 5 x - 12 = 19

Move the expression to the left side

4 x^{2} - 5 x - 31 = 0

Substitute a= 4,b= - 5 and c= - 31 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 4 ( - 31 )}{2 \times 4}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 4 ( - 31 )}{8}

Simplify the expression

More Steps

x = \frac{5 \pm 521}{8}

Separate the equation into 2 possible cases

x = \frac{5 + 521}{8} x = \frac{5 - 521}{8}

Solution

x_{1} = \frac{5 - 521}{8}, x_{2} = \frac{5 + 521}{8}

Alternative Form

x_{1} \approx - 2.228178, x_{2} \approx 3.478178

Solve the quadratic equation