Solve x^2+2x+10 - ScanMath

Evaluate

x^{2} + 2 x + 10

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

x^{2} + 2 x + 10 = 0

Substitute a= 1,b= 2 and c= 10 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 2 \pm 2 ^{2} - 4 \times 10}{2}

Simplify the expression

More Steps

x = \frac{- 2 \pm - 36}{2}

Simplify the radical expression

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x = \frac{- 2 \pm 6 i}{2}

Separate the equation into 2 possible cases

x = \frac{- 2 + 6 i}{2} x = \frac{- 2 - 6 i}{2}

Simplify the expression

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x = - 1 + 3 i x = \frac{- 2 - 6 i}{2}

Simplify the expression

More Steps

x = - 1 + 3 i x = - 1 - 3 i

Solution

x_{1} = - 1 - 3 i, x_{2} = - 1 + 3 i

Find the roots