What are the solutions to the equation x^2+3x+11=0 ?

The solutions to the equation x^2+3x+11=0 are x=-3/2+i(sqrt(35))/2 ,x=-3/2-i(sqrt(35))/2

Find the zeros of x^2+3x+11=0

The zeros of x^2+3x+11=0 are x=-3/2+i(sqrt(35))/2 ,x=-3/2-i(sqrt(35))/2

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x^{2} + 3 x + 11 = 0

x = - \frac{3}{2} + i \frac{35}{2}, x = - \frac{3}{2} - i \frac{35}{2}

Solution steps

x^{2} + 3 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 11 : 35 i

x_{1, 2} = \frac{- 3 \pm 35 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 35 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 35 i}{2 \cdot 1}

x = \frac{- 3 + 35 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{35}{2}

x = \frac{- 3 - 35 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{35}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{35}{2}, x = - \frac{3}{2} - i \frac{35}{2}

(\frac{25 c ^{- 1}}{5})^{2}

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

3 t < - 15

- 2 (\frac{3}{2})^{0}

7 x^{2} = 35

What are the solutions to the equation x^2+3x+11=0 ?
The solutions to the equation x^2+3x+11=0 are x=-3/2+i(sqrt(35))/2 ,x=-3/2-i(sqrt(35))/2
Find the zeros of x^2+3x+11=0
The zeros of x^2+3x+11=0 are x=-3/2+i(sqrt(35))/2 ,x=-3/2-i(sqrt(35))/2