Solve 13x^2+28x+12

Evaluate

13 x^{2} + 28 x + 12

To find the roots of the expression,set the expression equal to 0

13 x^{2} + 28 x + 12 = 0

Substitute a= 13,b= 28 and c= 12 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 28 \pm 2 8 ^{2} - 4 \times 13 \times 12}{2 \times 13}

Simplify the expression

x = \frac{- 28 \pm 2 8 ^{2} - 4 \times 13 \times 12}{26}

Simplify the expression

More Steps

x = \frac{- 28 \pm 160}{26}

Simplify the radical expression

More Steps

x = \frac{- 28 \pm 4 10}{26}

Separate the equation into 2 possible cases

x = \frac{- 28 + 4 10}{26} x = \frac{- 28 - 4 10}{26}

Simplify the expression

More Steps

x = \frac{- 14 + 2 10}{13} x = \frac{- 28 - 4 10}{26}

Simplify the expression

More Steps

x = \frac{- 14 + 2 10}{13} x = - \frac{14 + 2 10}{13}

Solution

x_{1} = - \frac{14 + 2 10}{13}, x_{2} = \frac{- 14 + 2 10}{13}

Alternative Form

x_{1} \approx - 1.563427, x_{2} \approx - 0.590419

13x^2+28x+12