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

The solutions to the equation x^2+1/2 x+1/2 =0 are x=-1/4+i(sqrt(7))/4 ,x=-1/4-i(sqrt(7))/4

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

The zeros of x^2+1/2 x+1/2 =0 are x=-1/4+i(sqrt(7))/4 ,x=-1/4-i(sqrt(7))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

Solution steps

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

Multiply both sides by

2

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 2 \cdot 1 : 7 i

x_{1, 2} = \frac{- 1 \pm 7 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 1 + 7 i}{2 \cdot 2}, x_{2} = \frac{- 1 - 7 i}{2 \cdot 2}

x = \frac{- 1 + 7 i}{2 \cdot 2} : - \frac{1}{4} + i \frac{7}{4}

x = \frac{- 1 - 7 i}{2 \cdot 2} : - \frac{1}{4} - i \frac{7}{4}

The solutions to the quadratic equation are:

x = - \frac{1}{4} + i \frac{7}{4}, x = - \frac{1}{4} - i \frac{7}{4}

4 x^{2} - 40 x + 96 = 0

x^{2} + (- 2 x - 38)^{2} + 24 x + 8 (- 2 x - 38) + 120 = 0

25 x^{2} + 36 = 0

n^{2} - 8 n - 20 = 0

5 (- 1)^{2} = x (- 1)^{3} - 1 + x^{2}

What are the solutions to the equation x^2+1/2 x+1/2 =0 ?
The solutions to the equation x^2+1/2 x+1/2 =0 are x=-1/4+i(sqrt(7))/4 ,x=-1/4-i(sqrt(7))/4
Find the zeros of x^2+1/2 x+1/2 =0
The zeros of x^2+1/2 x+1/2 =0 are x=-1/4+i(sqrt(7))/4 ,x=-1/4-i(sqrt(7))/4