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

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

Find the zeros of roots x^2+x+1/2

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

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roots

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

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

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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}

x (4 x - 5) = 0

- 91.5 x^{2} - 18 x + 73.5 = 0

x^{2} - 16 x + 48 = 9

y, 9 x^{2} - 4 y^{2} - 36 x - 16 y + 20 = 0

(x + 6)^{2} - 32 = 0

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