What are the solutions to the equation x^2+x+14=0 ?

The solutions to the equation x^2+x+14=0 are x=-1/2+i(sqrt(55))/2 ,x=-1/2-i(sqrt(55))/2

Find the zeros of x^2+x+14=0

The zeros of x^2+x+14=0 are x=-1/2+i(sqrt(55))/2 ,x=-1/2-i(sqrt(55))/2

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x^{2} + x + 14 = 0

x = - \frac{1}{2} + i \frac{55}{2}, x = - \frac{1}{2} - i \frac{55}{2}

Solution steps

x^{2} + x + 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot 14}{2 \cdot 1}

Simplify

1^{2} - 4 \cdot 1 \cdot 14 : 55 i

x_{1, 2} = \frac{- 1 \pm 55 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 55 i}{2 \cdot 1}, x_{2} = \frac{- 1 - 55 i}{2 \cdot 1}

x = \frac{- 1 + 55 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{55}{2}

x = \frac{- 1 - 55 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{55}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{55}{2}, x = - \frac{1}{2} - i \frac{55}{2}

6^{2} + 3^{2} = x^{2}

s^{2} + 10 s + 100 = 0

x^{2} + 2 x - 4

x^{2} + 2 x + 3

9 (5 - 2 x)^{2} - 25 = - 21

What are the solutions to the equation x^2+x+14=0 ?
The solutions to the equation x^2+x+14=0 are x=-1/2+i(sqrt(55))/2 ,x=-1/2-i(sqrt(55))/2
Find the zeros of x^2+x+14=0
The zeros of x^2+x+14=0 are x=-1/2+i(sqrt(55))/2 ,x=-1/2-i(sqrt(55))/2