Solve x^2 +5x + 8

Evaluate

x^{2} + 5 x + 8

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

x^{2} + 5 x + 8 = 0

Substitute a= 1,b= 5 and c= 8 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

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

Simplify the expression

More Steps

x = \frac{- 5 \pm - 7}{2}

Simplify the radical expression

More Steps

x = \frac{- 5 \pm 7 \times i}{2}

Separate the equation into 2 possible cases

x = \frac{- 5 + 7 \times i}{2} x = \frac{- 5 - 7 \times i}{2}

Simplify the expression

More Steps

x = - \frac{5}{2} + \frac{7}{2} i x = \frac{- 5 - 7 \times i}{2}

Simplify the expression

More Steps

x = - \frac{5}{2} + \frac{7}{2} i x = - \frac{5}{2} - \frac{7}{2} i

Solution

x_{1} = - \frac{5}{2} - \frac{7}{2} i, x_{2} = - \frac{5}{2} + \frac{7}{2} i

Alternative Form

x_{1} \approx - 2.5 - 1.322876 i, x_{2} \approx - 2.5 + 1.322876 i

Find the roots