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

The solutions to the equation 5x^2+5x+5=0 are x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2

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

The zeros of 5x^2+5x+5=0 are x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2

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

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

Solution steps

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

Solve with the quadratic formula

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

Simplify

5^{2} - 4 \cdot 5 \cdot 5 : 53 i

x_{1, 2} = \frac{- 5 \pm 5 3 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 5 + 5 3 i}{2 \cdot 5}, x_{2} = \frac{- 5 - 5 3 i}{2 \cdot 5}

x = \frac{- 5 + 5 3 i}{2 \cdot 5} : - \frac{1}{2} + i \frac{3}{2}

x = \frac{- 5 - 5 3 i}{2 \cdot 5} : - \frac{1}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

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

\frac{2 - i}{3 + i}

\frac{2}{3} \cdot 24

4 x - x^{2}

\frac{1}{6} + \frac{3}{2}

3 z^{2} + 11 z - 4 = 0

What are the solutions to the equation 5x^2+5x+5=0 ?
The solutions to the equation 5x^2+5x+5=0 are x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2
Find the zeros of 5x^2+5x+5=0
The zeros of 5x^2+5x+5=0 are x=-1/2+i(sqrt(3))/2 ,x=-1/2-i(sqrt(3))/2