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}

a^{3} - 125

7 x - 2 > 6 x - 8

2 x^{2} - 11 x + 12 \geq 0

18 - 4 x = - 2

6 r^{2} + 37 r + 45

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