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

The solutions to the equation x^2+x+1/2 =0 are x=-1/2+i 1/2 ,x=-1/2-i 1/2

Find the zeros of x^2+x+1/2 =0

The zeros of x^2+x+1/2 =0 are x=-1/2+i 1/2 ,x=-1/2-i 1/2

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x^{2} + x + \frac{1}{2} = 0

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

Solution steps

x^{2} + x + \frac{1}{2} = 0

Multiply both sides by

2

2 x^{2} + 2 x + 1 = 0

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

- \frac{3}{8} - 1

- 2.4 > \frac{b}{- 2.5}

5 d + 2 (2 - d) = 3 (1 + d) + 1

x^{2} - \frac{3}{4} x + \frac{1}{8} = 0

3 y - 2 y + 5 y = 0

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