Solve x^2 + x + 36

Evaluate

x^{2} + x + 36

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

x^{2} + x + 36 = 0

Substitute a= 1,b= 1 and c= 36 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 1 \pm 1 ^{2} - 4 \times 36}{2}

Simplify the expression

More Steps

x = \frac{- 1 \pm - 143}{2}

Simplify the radical expression

More Steps

x = \frac{- 1 \pm 143 \times i}{2}

Separate the equation into 2 possible cases

x = \frac{- 1 + 143 \times i}{2} x = \frac{- 1 - 143 \times i}{2}

Simplify the expression

More Steps

x = - \frac{1}{2} + \frac{143}{2} i x = \frac{- 1 - 143 \times i}{2}

Simplify the expression

More Steps

x = - \frac{1}{2} + \frac{143}{2} i x = - \frac{1}{2} - \frac{143}{2} i

Solution

x_{1} = - \frac{1}{2} - \frac{143}{2} i, x_{2} = - \frac{1}{2} + \frac{143}{2} i

Alternative Form

x_{1} \approx - 0.5 - 5.97913 i, x_{2} \approx - 0.5 + 5.97913 i

Find the roots