What are the solutions to the equation roots x^2+x+4 ?

The solutions to the equation roots x^2+x+4 are x=-1/2+i(sqrt(15))/2 ,x=-1/2-i(sqrt(15))/2

Find the zeros of roots x^2+x+4

The zeros of roots x^2+x+4 are x=-1/2+i(sqrt(15))/2 ,x=-1/2-i(sqrt(15))/2

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roots

x^{2} + x + 4

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

Solution steps

x^{2} + x + 4

The roots are the intercepts with the x-axis

(y = 0)

x^{2} + x + 4 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 4 : 15 i

x_{1, 2} = \frac{- 1 \pm 15 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 15 i}{2 \cdot 1}, x_{2} = \frac{- 1 - 15 i}{2 \cdot 1}

x = \frac{- 1 + 15 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{15}{2}

x = \frac{- 1 - 15 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{15}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{15}{2}, x = - \frac{1}{2} - i \frac{15}{2}

3 x^{2} - 5 x^{2} = 0

6 x^{2} + x = 222

h^{2} = 10 h - 3^{2}

x^{2} + 6 x + 8 = 0

4 x^{2} + 18 x - 70 = 0

What are the solutions to the equation roots x^2+x+4 ?
The solutions to the equation roots x^2+x+4 are x=-1/2+i(sqrt(15))/2 ,x=-1/2-i(sqrt(15))/2
Find the zeros of roots x^2+x+4
The zeros of roots x^2+x+4 are x=-1/2+i(sqrt(15))/2 ,x=-1/2-i(sqrt(15))/2