Solve -x^(2)-4x-5

Evaluate

- x^{2} - 4 x - 5

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

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

Multiply both sides

x^{2} + 4 x + 5 = 0

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

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

Simplify the expression

More Steps

x = \frac{- 4 \pm - 4}{2}

Simplify the radical expression

More Steps

x = \frac{- 4 \pm 2 i}{2}

Separate the equation into 2 possible cases

x = \frac{- 4 + 2 i}{2} x = \frac{- 4 - 2 i}{2}

Simplify the expression

More Steps

x = - 2 + i x = \frac{- 4 - 2 i}{2}

Simplify the expression

More Steps

x = - 2 + i x = - 2 - i

Solution

x_{1} = - 2 - i, x_{2} = - 2 + i

Factor the expression