Solve 12x^(2)-56x-65=0

Evaluate

12 x^{2} - 56 x - 65 = 0

Substitute a= 12,b= - 56 and c= - 65 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{56 \pm ( - 56 ) ^{2} - 4 \times 12 ( - 65 )}{2 \times 12}

Simplify the expression

x = \frac{56 \pm ( - 56 ) ^{2} - 4 \times 12 ( - 65 )}{24}

Simplify the expression

More Steps

x = \frac{56 \pm 6256}{24}

Simplify the radical expression

More Steps

x = \frac{56 \pm 4 391}{24}

Separate the equation into 2 possible cases

x = \frac{56 + 4 391}{24} x = \frac{56 - 4 391}{24}

Simplify the expression

More Steps

x = \frac{14 + 391}{6} x = \frac{56 - 4 391}{24}

Simplify the expression

More Steps

x = \frac{14 + 391}{6} x = \frac{14 - 391}{6}

Solution

x_{1} = \frac{14 - 391}{6}, x_{2} = \frac{14 + 391}{6}

Alternative Form

x_{1} \approx - 0.962287, x_{2} \approx 5.628953

Solve the quadratic equation