What are the solutions to the equation s^2-s+0.5=0 ?

The solutions to the equation s^2-s+0.5=0 are s= 1/2+i 1/2 ,s= 1/2-i 1/2

Find the zeros of s^2-s+0.5=0

The zeros of s^2-s+0.5=0 are s= 1/2+i 1/2 ,s= 1/2-i 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

s^{2} - s + 0.5 = 0

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

Solution steps

s^{2} - s + 0.5 = 0

Multiply both sides by

10

10 s^{2} - 10 s + 5 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 10 \cdot 5}{2 \cdot 10}

Simplify

(- 10)^{2} - 4 \cdot 10 \cdot 5 : 10 i

s_{1, 2} = \frac{- ( - 10 ) \pm 10 i}{2 \cdot 10}

Separate the solutions

s_{1} = \frac{- ( - 10 ) + 10 i}{2 \cdot 10}, s_{2} = \frac{- ( - 10 ) - 10 i}{2 \cdot 10}

s = \frac{- ( - 10 ) + 10 i}{2 \cdot 10} : \frac{1}{2} + i \frac{1}{2}

s = \frac{- ( - 10 ) - 10 i}{2 \cdot 10} : \frac{1}{2} - i \frac{1}{2}

The solutions to the quadratic equation are:

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

y^{2} = 48

y^{2} = 46

y^{2} = 5 y

y, x^{2} + y^{2} = 100

x^{2} - 10 x - 14 = - 3

What are the solutions to the equation s^2-s+0.5=0 ?
The solutions to the equation s^2-s+0.5=0 are s= 1/2+i 1/2 ,s= 1/2-i 1/2
Find the zeros of s^2-s+0.5=0
The zeros of s^2-s+0.5=0 are s= 1/2+i 1/2 ,s= 1/2-i 1/2