Solve x^2+4x+6 - ScanMath

Evaluate

x^{2} + 4 x + 6

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

x^{2} + 4 x + 6 = 0

Substitute a= 1,b= 4 and c= 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 4 \pm 4 ^{2} - 4 \times 6}{2}

Simplify the expression

More Steps

x = \frac{- 4 \pm - 8}{2}

Simplify the radical expression

More Steps

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

Separate the equation into 2 possible cases

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

Simplify the expression

More Steps

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

Simplify the expression

More Steps

x = - 2 + 2 \times i x = - 2 - 2 \times i

Solution

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

Alternative Form

x_{1} \approx - 2 - 1.414214 i, x_{2} \approx - 2 + 1.414214 i

Find the roots