What are the solutions to the equation x^2+5x+11=0 ?

The solutions to the equation x^2+5x+11=0 are x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2

Find the zeros of x^2+5x+11=0

The zeros of x^2+5x+11=0 are x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2

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x^{2} + 5 x + 11 = 0

x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

Solution steps

x^{2} + 5 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

Simplify

5^{2} - 4 \cdot 1 \cdot 11 : 19 i

x_{1, 2} = \frac{- 5 \pm 19 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 19 i}{2 \cdot 1}, x_{2} = \frac{- 5 - 19 i}{2 \cdot 1}

x = \frac{- 5 + 19 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{19}{2}

x = \frac{- 5 - 19 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{19}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{19}{2}, x = - \frac{5}{2} - i \frac{19}{2}

b - 7 < - 12

2 x (x + 5) = 4

12 x^{2} y - 18 x^{2} - 8 y + 12

lo g_{10} (\frac{1}{2})

\frac{4}{3} \cdot \frac{3}{4}

What are the solutions to the equation x^2+5x+11=0 ?
The solutions to the equation x^2+5x+11=0 are x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2
Find the zeros of x^2+5x+11=0
The zeros of x^2+5x+11=0 are x=-5/2+i(sqrt(19))/2 ,x=-5/2-i(sqrt(19))/2