What are the solutions to the equation X^2+X+1=0 ?

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

Find the zeros of X^2+X+1=0

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

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X^{2} + X + 1 = 0

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

Solution steps

X^{2} + X + 1 = 0

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

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

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

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

x^{2} - 2 x \leq 1

\frac{x}{8} - \frac{3}{2} = - \frac{1}{40}

2 a^{3} - 7 a^{2} - 8 a + 28

h (5) = 5 + 5 - 2

∣ y ∣ = 9

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